C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas |
Autore | Douglas Ronald G. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (94 pages) : illustrations |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
C*-algebras
K-theory Algebra, Homological |
Soggetto non controllato |
Addition
Affine transformation Algebraic topology Atiyah–Singer index theorem Automorphism Banach algebra Bijection Boundary value problem Bundle map C*-algebra Calculation Cardinal number Category of abelian groups Characteristic class Chern class Clifford algebra Coefficient Cohomology Compact operator Completely positive map Contact geometry Continuous function Corollary Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Dimension function Dimension Direct integral Direct proof Eigenvalues and eigenvectors Equivalence class Equivalence relation Essential spectrum Euler class Exact sequence Existential quantification Fiber bundle Finite group Fredholm operator Fredholm Free abelian group Fundamental class Fundamental group Hardy space Hermann Weyl Hilbert space Homological algebra Homology (mathematics) Homomorphism Homotopy Ideal (ring theory) Inner automorphism Irreducible representation K-group K-theory Lebesgue space Locally compact group Maximal compact subgroup Michael Atiyah Monomorphism Morphism Natural number Natural transformation Normal operator Operator algebra Operator norm Operator theory Orthogonal group Pairing Piecewise linear manifold Polynomial Pontryagin class Positive and negative parts Positive map Pseudo-differential operator Quaternion Quotient algebra Self-adjoint operator Self-adjoint Simply connected space Smooth structure Special case Stein manifold Strong topology Subalgebra Subgroup Subset Summation Tangent bundle Theorem Todd class Topology Torsion subgroup Unitary operator Universal coefficient theorem Variable (mathematics) Von Neumann algebra |
ISBN | 1-4008-8146-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter |
Record Nr. | UNINA-9910154752903321 |
Douglas Ronald G.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff |
Autore | Milnor John |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (339 pages) : illustrations |
Disciplina | 514/.7 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Characteristic classes |
Soggetto non controllato |
Additive group
Axiom Basis (linear algebra) Boundary (topology) Bundle map CW complex Canonical map Cap product Cartesian product Characteristic class Charles Ehresmann Chern class Classifying space Coefficient Cohomology ring Cohomology Compact space Complex dimension Complex manifold Complex vector bundle Complexification Computation Conformal geometry Continuous function Coordinate space Cross product De Rham cohomology Diffeomorphism Differentiable manifold Differential form Differential operator Dimension (vector space) Dimension Direct sum Directional derivative Eilenberg–Steenrod axioms Embedding Equivalence class Euler class Euler number Existence theorem Existential quantification Exterior (topology) Fiber bundle Fundamental class Fundamental group General linear group Grassmannian Gysin sequence Hausdorff space Homeomorphism Homology (mathematics) Homotopy Identity element Integer Interior (topology) Isomorphism class J-homomorphism K-theory Leibniz integral rule Levi-Civita connection Limit of a sequence Linear map Metric space Natural number Natural topology Neighbourhood (mathematics) Normal bundle Open set Orthogonal complement Orthogonal group Orthonormal basis Partition of unity Permutation Polynomial Power series Principal ideal domain Projection (mathematics) Representation ring Riemannian manifold Sequence Singular homology Smoothness Special case Steenrod algebra Stiefel–Whitney class Subgroup Subset Symmetric function Tangent bundle Tensor product Theorem Thom space Topological space Topology Unit disk Unit vector Variable (mathematics) Vector bundle Vector space |
ISBN | 1-4008-8182-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index |
Record Nr. | UNINA-9910154754803321 |
Milnor John
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig |
Autore | Lusztig George |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (408 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Finite groups
Finite fields (Algebra) Characters of groups |
Soggetto non controllato |
Addition
Algebra representation Algebraic closure Algebraic group Algebraic variety Algebraically closed field Bijection Borel subgroup Cartan subalgebra Character table Character theory Characteristic function (probability theory) Characteristic polynomial Class function (algebra) Classical group Coefficient Cohomology with compact support Cohomology Combination Complex number Computation Conjugacy class Connected component (graph theory) Coxeter group Cyclic group Cyclotomic polynomial David Kazhdan Dense set Derived category Diagram (category theory) Dimension Direct sum Disjoint sets Disjoint union E6 (mathematics) Eigenvalues and eigenvectors Endomorphism Equivalence class Equivalence relation Existential quantification Explicit formula Explicit formulae (L-function) Fiber bundle Finite field Finite group Fourier transform Green's function Group (mathematics) Group action Group representation Harish-Chandra Hecke algebra Identity element Integer Irreducible representation Isomorphism class Jordan decomposition Line bundle Linear combination Local system Mathematical induction Maximal torus Module (mathematics) Monodromy Morphism Orthonormal basis P-adic number Parametrization Parity (mathematics) Partially ordered set Perverse sheaf Pointwise Polynomial Quantity Rational point Reductive group Ree group Schubert variety Scientific notation Semisimple Lie algebra Sheaf (mathematics) Simple group Simple module Special case Standard basis Subset Subtraction Summation Surjective function Symmetric group Tensor product Theorem Two-dimensional space Unipotent representation Vector bundle Vector space Verma module Weil conjecture Weyl group Zariski topology |
ISBN | 1-4008-8177-3 |
Classificazione | SK 260 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
Record Nr. | UNINA-9910154752803321 |
Lusztig George
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
Autore | Madsen Ib |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (296 pages) : illustrations |
Disciplina | 514/.223 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Manifolds (Mathematics)
Classifying spaces Surgery (Topology) Cobordism theory |
Soggetto non controllato |
Bijection
Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order |
ISBN | 1-4008-8147-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154749003321 |
Madsen Ib
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
Autore | Penner R. C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) : illustrations |
Disciplina | 511/.6 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
ISBN | 1-4008-8245-1 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
Record Nr. | UNINA-9910154745603321 |
Penner R. C.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne |
Autore | Deligne Pierre |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (196 pages) : illustrations |
Disciplina | 515/.25 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Hypergeometric functions
Monodromy groups Lattice theory |
Soggetto non controllato |
Abuse of notation
Algebraic variety Analytic continuation Arithmetic group Automorphism Bernhard Riemann Big O notation Codimension Coefficient Cohomology Commensurability (mathematics) Compactification (mathematics) Complete quadrangle Complex number Complex space Conjugacy class Connected component (graph theory) Coprime integers Cube root Derivative Diagonal matrix Differential equation Dimension (vector space) Discrete group Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Ellipse Elliptic curve Equation Existential quantification Fiber bundle Finite group First principle Fundamental group Gelfand Holomorphic function Hypergeometric function Hyperplane Hypersurface Integer Inverse function Irreducible component Irreducible representation Isolated point Isomorphism class Line bundle Linear combination Linear differential equation Local coordinates Local system Locally finite collection Mathematical proof Minkowski space Moduli space Monodromy Morphism Multiplicative group Neighbourhood (mathematics) Open set Orbifold Permutation Picard group Point at infinity Polynomial ring Projective line Projective plane Projective space Root of unity Second derivative Simple group Smoothness Subgroup Subset Symmetry group Tangent space Tangent Theorem Transversal (geometry) Uniqueness theorem Variable (mathematics) Vector space |
ISBN | 1-4008-8251-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- §1. INTRODUCTION -- §2. PICARD GROUP AND COHOMOLOGY -- §3. COMPUTATIONS FOR Q AND Q+ -- §4. LAURICELLA'S HYPERGEOMETRIC FUNCTIONS -- §5. GELFAND'S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS -- §6. STRICT EXPONENTS -- §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS -- §8. PRELIMINARIES ON MONODROMY GROUPS -- §9. BACKGROUND HEURISTICS -- §10. SOME COMMENSURABILITY THEOREMS -- §11. ANOTHER ISOGENY -- §12. COMMENSURABILITY AND DISCRETENESS -- §13. AN EXAMPLE -- §14. ORBIFOLD -- §15. ELLIPTIC AND EUCLIDEAN μ'S, REVISITED -- §16. LIVNE'S CONSTRUCTION OF LATTICES IN PU(1,2) -- §17. LIN E ARRANGEMENTS: QUESTIONS -- Bibliography |
Record Nr. | UNINA-9910154745503321 |
Deligne Pierre
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin |
Autore | Guillemin Victor |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (236 pages) : illustrations |
Disciplina | 523.1/072/4 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Cosmology - Mathematical models
Geometry, Differential Lorentz transformations |
Soggetto non controllato |
Automorphism
Bijection C0 Canonical form Canonical transformation Cauchy distribution Causal structure Cayley transform Codimension Cohomology Cokernel Compactification (mathematics) Complexification (Lie group) Computation Conformal geometry Conformal map Conformal symmetry Connected sum Contact geometry Corank Covariant derivative Covering space Deformation theory Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Einstein field equations Equation Euler characteristic Existential quantification Fiber bundle Fibration Floquet theory Four-dimensional space Fourier integral operator Fourier transform Fundamental group Geodesic Hamilton–Jacobi equation Hilbert space Holomorphic function Holomorphic vector bundle Hyperfunction Hypersurface Integral curve Integral geometry Integral transform Intersection (set theory) Invertible matrix K-finite Lagrangian (field theory) Lie algebra Light cone Linear map Manifold Maxima and minima Minkowski space Module (mathematics) Notation One-parameter group Parametrix Parametrization Principal bundle Product metric Pseudo-differential operator Quadratic equation Quadratic form Quadric Radon transform Riemann surface Riemannian manifold Seifert fiber space Sheaf (mathematics) Siegel domain Simply connected space Submanifold Submersion (mathematics) Support (mathematics) Surjective function Symplectic manifold Symplectic vector space Symplectomorphism Tangent space Tautology (logic) Tensor product Theorem Topological space Topology Two-dimensional space Unit vector Universal enveloping algebra Variable (mathematics) Vector bundle Vector field Vector space Verma module Volume form X-ray transform |
ISBN | 1-4008-8241-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
Record Nr. | UNINA-9910154746903321 |
Guillemin Victor
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu |
Autore | Wu Hung-his |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (252 pages) : illustrations |
Disciplina | 517.5 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Value distribution theory
Analytic functions Functions, Meromorphic |
Soggetto non controllato |
Addition
Algebraic curve Algebraic number Atlas (topology) Binomial coefficient Cauchy–Riemann equations Compact Riemann surface Compact space Complex manifold Complex projective space Computation Continuous function (set theory) Covariant derivative Critical value Curvature form Diagram (category theory) Differential form Differential geometry of surfaces Differential geometry Dimension Divisor Essential singularity Euler characteristic Existential quantification Fiber bundle Gaussian curvature Geodesic curvature Geometry Grassmannian Harmonic function Hermann Weyl Hermitian manifold Holomorphic function Homology (mathematics) Hyperbolic manifold Hyperplane Hypersurface Improper integral Intersection number (graph theory) Isometry Line integral Manifold Meromorphic function Minimal surface Nevanlinna theory One-form Open problem Open set Orthogonal complement Parameter Picard theorem Product metric Q.E.D. Remainder Riemann sphere Riemann surface Smoothness Special case Submanifold Subset Tangent space Tangent Theorem Three-dimensional space (mathematics) Unit circle Unit vector Vector field Volume element Volume form |
ISBN | 1-4008-8190-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions |
Record Nr. | UNINA-9910154750103321 |
Wu Hung-his
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander |
Autore | Friedlander Eric M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (193 pages) |
Disciplina | 514/.24 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Homotopy theory
Schemes (Algebraic geometry) Homology theory |
Soggetto non controllato |
Abelian group
Adams operation Adjoint functors Alexander Grothendieck Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number theory Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Automorphism Base change Cap product Cartesian product Closed immersion Codimension Coefficient Cohomology Comparison theorem Complex number Complex vector bundle Connected component (graph theory) Connected space Coprime integers Corollary Covering space Derived functor Dimension (vector space) Disjoint union Embedding Existence theorem Ext functor Exterior algebra Fiber bundle Fibration Finite field Finite group Free group Functor Fundamental group Galois cohomology Galois extension Geometry Grothendieck topology Homogeneous space Homological algebra Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Integral domain Intersection (set theory) Inverse limit Inverse system K-theory Leray spectral sequence Lie group Local ring Mapping cylinder Natural number Natural transformation Neighbourhood (mathematics) Newton polynomial Noetherian ring Open set Opposite category Pointed set Presheaf (category theory) Reductive group Regular local ring Relative homology Residue field Riemann surface Root of unity Serre spectral sequence Shape theory (mathematics) Sheaf (mathematics) Sheaf cohomology Sheaf of spectra Simplex Simplicial set Special case Spectral sequence Surjective function Theorem Topological K-theory Topological space Topology Tubular neighborhood Vector bundle Weak equivalence (homotopy theory) Weil conjectures Weyl group Witt vector Zariski topology |
ISBN | 1-4008-8149-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154744803321 |
Friedlander Eric M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz |
Autore | Katz Nicholas M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (445 pages) : illustrations |
Disciplina | 512/.73 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Exponential sums
Differential equations |
Soggetto non controllato |
Adjoint representation
Algebraic geometry Algebraic integer Algebraically closed field Automorphism Base change Bernard Dwork Big O notation Bijection Calculation Characteristic polynomial Codimension Coefficient Cohomology Comparison theorem Complex manifold Conjugacy class Connected component (graph theory) Convolution Determinant Diagram (category theory) Differential Galois theory Differential equation Dimension (vector space) Dimension Direct sum Divisor Eigenvalues and eigenvectors Endomorphism Equation Euler characteristic Existential quantification Exponential sum Fiber bundle Field of fractions Finite field Formal power series Fourier transform Fundamental group Fundamental representation Galois extension Galois group Gauss sum Generic point Group theory Homomorphism Hypergeometric function Identity component Identity element Integer Irreducibility (mathematics) Irreducible representation Isogeny Isomorphism class L-function Laurent polynomial Lie algebra Logarithm Mathematical induction Matrix coefficient Maximal compact subgroup Maximal torus Mellin transform Monic polynomial Monodromy theorem Monodromy Monomial Natural number Normal subgroup P-adic number Permutation Polynomial Prime number Pullback Quotient group Reductive group Regular singular point Representation theory Ring homomorphism Root of unity Scientific notation Set (mathematics) Sheaf (mathematics) Special case Subcategory Subgroup Subring Subset Summation Surjective function Symmetric group Tensor product Theorem Theory Three-dimensional space (mathematics) Torsor (algebraic geometry) Trichotomy (mathematics) Unitarian trick Unitary group Variable (mathematics) |
ISBN | 1-4008-8243-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References |
Record Nr. | UNINA-9910154744703321 |
Katz Nicholas M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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