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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
| 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] | ||
| Materiale a stampa | ||
| 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
| 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 |
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Deligne Pierre
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths
| Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
| Autore | Griffiths Phillip A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (112 pages) : illustrations |
| Disciplina | 515/.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Holomorphic mappings |
| Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
| ISBN | 1-4008-8148-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154753903321 |
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Griffiths Phillip A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton
| Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton |
| Autore | Fulton William |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (171 pages) : illustrations |
| Disciplina | 516.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Toric varieties |
| Soggetto non controllato |
Addition
Affine plane Affine space Affine variety Alexander Grothendieck Alexander duality Algebraic curve Algebraic group Atiyah–Singer index theorem Automorphism Betti number Big O notation Characteristic class Chern class Chow group Codimension Cohomology Combinatorics Commutative property Complete intersection Convex polytope Convex set Coprime integers Cotangent space Dedekind sum Dimension (vector space) Dimension Direct proof Discrete valuation ring Discrete valuation Disjoint union Divisor (algebraic geometry) Divisor Dual basis Dual space Equation Equivalence class Equivariant K-theory Euler characteristic Exact sequence Explicit formula Facet (geometry) Fundamental group Graded ring Grassmannian H-vector Hirzebruch surface Hodge theory Homogeneous coordinates Homomorphism Hypersurface Intersection theory Invertible matrix Invertible sheaf Isoperimetric inequality Lattice (group) Leray spectral sequence Limit point Line bundle Line segment Linear subspace Local ring Mathematical induction Mixed volume Moduli space Moment map Monotonic function Natural number Newton polygon Open set Picard group Pick's theorem Polytope Projective space Quadric Quotient space (topology) Regular sequence Relative interior Resolution of singularities Restriction (mathematics) Resultant Riemann–Roch theorem Serre duality Sign (mathematics) Simplex Simplicial complex Simultaneous equations Spectral sequence Subgroup Subset Summation Surjective function Tangent bundle Theorem Topology Toric variety Unit disk Vector space Weil conjecture Zariski topology |
| ISBN | 1-4008-8252-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Errata -- Chapter 1. Definitions and examples -- Chapter 2. Singularities and compactness -- Chapter 3. Orbits, topology, and line bundles -- Chapter 4. Moment maps and the tangent bundle -- Chapter 5. Intersection theory -- Notes -- References -- Index of Notation -- Index |
| Record Nr. | UNINA-9910154749903321 |
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Fulton William
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on resolution of singularities [[electronic resource] /] / János Kollár
| Lectures on resolution of singularities [[electronic resource] /] / János Kollár |
| Autore | Kollár János |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Singularities (Mathematics) |
| Soggetto non controllato |
Adjunction formula
Algebraic closure Algebraic geometry Algebraic space Algebraic surface Algebraic variety Approximation Asymptotic analysis Automorphism Bernhard Riemann Big O notation Birational geometry C0 Canonical singularity Codimension Cohomology Commutative algebra Complex analysis Complex manifold Computability Continuous function Coordinate system Diagram (category theory) Differential geometry of surfaces Dimension Divisor Du Val singularity Dual graph Embedding Equation Equivalence relation Euclidean algorithm Factorization Functor General position Generic point Geometric genus Geometry Hyperplane Hypersurface Integral domain Intersection (set theory) Intersection number (graph theory) Intersection theory Irreducible component Isolated singularity Laurent series Line bundle Linear space (geometry) Linear subspace Mathematical induction Mathematics Maximal ideal Morphism Newton polygon Noetherian ring Noetherian Open problem Open set P-adic number Pairwise Parametric equation Partial derivative Plane curve Polynomial Power series Principal ideal Principalization (algebra) Projective space Projective variety Proper morphism Puiseux series Quasi-projective variety Rational function Regular local ring Resolution of singularities Riemann surface Ring theory Ruler Scientific notation Sheaf (mathematics) Singularity theory Smooth morphism Smoothness Special case Subring Summation Surjective function Tangent cone Tangent space Tangent Taylor series Theorem Topology Toric variety Transversal (geometry) Variable (mathematics) Weierstrass preparation theorem Weierstrass theorem Zero set |
| ISBN |
1-282-15774-4
9786612157745 1-4008-2780-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- Index |
| Record Nr. | UNINA-9910778222903321 |
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Kollár János
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
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Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer
| Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer |
| Autore | Laufer Henry B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (177 pages) : illustrations |
| Disciplina | 515/.92/23 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Analytic spaces
Singularities (Mathematics) |
| Soggetto non controllato |
Analytic function
Analytic set Analytic space Automorphism Bernhard Riemann Big O notation Calculation Chern class Codimension Coefficient Cohomology Compact Riemann surface Complex manifold Computation Connected component (graph theory) Continuous function Contradiction Coordinate system Corollary Covering space Dimension Disjoint union Divisor Dual graph Elliptic curve Elliptic function Embedding Existential quantification Factorization Fiber bundle Finite set Formal power series Hausdorff space Holomorphic function Homeomorphism Homology (mathematics) Intersection (set theory) Intersection number (graph theory) Inverse limit Irreducible component Isolated singularity Iteration Lattice (group) Line bundle Linear combination Line–line intersection Local coordinates Local ring Mathematical induction Maximal ideal Meromorphic function Monic polynomial Nilpotent Normal bundle Open set Parameter Plane curve Pole (complex analysis) Power series Presheaf (category theory) Projective line Quadratic transformation Quantity Riemann surface Riemann–Roch theorem Several complex variables Submanifold Subset Tangent bundle Tangent space Tensor algebra Theorem Topological space Transition function Two-dimensional space Variable (mathematics) Zero divisor Zero of a function Zero set |
| ISBN | 1-4008-8174-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES -- CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER IV. EXCEPTIONAL SETS -- CHAPTER V. MINIMAL RESOLUTIONS -- CHAPTER VI. EQUIVALENCE OF EMBEDDINGS -- CHAPTER VII. THE LOCAL RING STRUCTURE -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154751503321 |
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Laufer Henry B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor
| Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor |
| Autore | Hirzebruch Friedrich |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (197 pages) |
| Disciplina | 510 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Mathematics |
| Soggetto non controllato |
A priori estimate
Addition Additive group Affine space Algebraic geometry Algebraic group Atiyah–Singer index theorem Bernoulli number Boundary value problem Bounded operator C*-algebra Canonical transformation Cauchy problem Characteristic class Clifford algebra Coefficient Cohomology Commutative property Commutative ring Complex manifold Complex number Complex vector bundle Dedekind sum Degenerate bilinear form Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Ellipse Elliptic operator Equation Euler characteristic Euler number Existence theorem Exotic sphere Finite difference Finite group Fourier integral operator Fourier transform Fourier Fredholm operator Hardy space Hilbert space Holomorphic vector bundle Homogeneous coordinates Homomorphism Homotopy Hyperbolic partial differential equation Identity component Integer Integral transform Isomorphism class John Milnor K-theory Lebesgue measure Line bundle Local ring Mathematics Maximal ideal Modular form Module (mathematics) Monoid Normal bundle Number theory Open set Parametrix Parity (mathematics) Partial differential equation Piecewise linear manifold Poisson bracket Polynomial ring Polynomial Prime number Principal part Projective space Pseudo-differential operator Quadratic form Rational variety Real number Reciprocity law Resolution of singularities Riemann–Roch theorem Shift operator Simply connected space Special case Square-integrable function Subalgebra Submanifold Support (mathematics) Surjective function Symmetric bilinear form Symplectic vector space Tangent space Theorem Topology Variable (mathematics) Vector bundle Vector space Winding number |
| ISBN | 1-4008-8169-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M. |
| Record Nr. | UNINA-9910154751003321 |
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Hirzebruch Friedrich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto non controllato |
Adjoint
Automorphism Cartan decomposition Cartan subalgebra Casimir element Closed geodesic Cohomology Commutative property Complex manifold Complex number Complex projective plane Complex projective space Complex vector bundle Complexification Computation Constant curvature Coset Covering space Curvature Determinant Diagram (category theory) Diffeomorphism Differential form Differential geometry Differential operator Dimension (vector space) Dot product Eigenvalues and eigenvectors Einstein manifold Elliptic operator Endomorphism Equivalence class Even and odd functions Exactness Existential quantification G-module Geometry Grassmannian Harmonic analysis Hermitian symmetric space Hodge dual Homogeneous space Identity element Implicit function Injective function Integer Integral Isometry Killing form Killing vector field Lemma (mathematics) Lie algebra Lie derivative Line bundle Mathematical induction Morphism Open set Orthogonal complement Orthonormal basis Orthonormality Parity (mathematics) Partial differential equation Projection (linear algebra) Projective space Quadric Quaternionic projective space Quotient space (topology) Radon transform Real number Real projective plane Real projective space Real structure Remainder Restriction (mathematics) Riemann curvature tensor Riemann sphere Riemannian manifold Rigidity (mathematics) Scalar curvature Second fundamental form Simple Lie group Standard basis Stokes' theorem Subgroup Submanifold Symmetric space Tangent bundle Tangent space Tangent vector Tensor Theorem Topological group Torus Unit vector Unitary group Vector bundle Vector field Vector space X-ray transform Zero of a function |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910778216403321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
| The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
| Autore | Morgan John W. <1946-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 514/.2 |
| Collana | Mathematical Notes |
| Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
| Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
| ISBN | 1-4008-6516-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
| Record Nr. | UNINA-9910786749103321 |
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Morgan John W. <1946->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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