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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (532 pages) : illustrations
Disciplina 516.3/5
Collana Annals of Mathematics Studies
Soggetto topico Curves, Elliptic
Moduli theory
Geometry, Algebraic
Soggetto non controllato Abelian variety
Addition
Algebraic variety
Algebraically closed field
Ambient space
Arithmetic
Axiom
Barry Mazur
Base change
Calculation
Canonical map
Change of base
Closed immersion
Coefficient
Coherent sheaf
Cokernel
Commutative property
Congruence relation
Coprime integers
Corollary
Cusp form
Cyclic group
Dense set
Diagram (category theory)
Dimension
Discrete valuation ring
Disjoint union
Divisor
Eigenfunction
Elliptic curve
Empty set
Factorization
Field of fractions
Finite field
Finite group
Finite morphism
Free module
Functor
Group (mathematics)
Integer
Irreducible component
Level structure
Local ring
Maximal ideal
Modular curve
Modular equation
Modular form
Moduli space
Morphism of schemes
Morphism
Neighbourhood (mathematics)
Noetherian
One-parameter group
Open problem
Prime factor
Prime number
Prime power
Q.E.D.
Regularity theorem
Representation theory
Residue field
Riemann hypothesis
Smoothness
Special case
Subgroup
Subring
Subset
Theorem
Topology
Two-dimensional space
Zariski topology
ISBN 1-4008-8171-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- Chapter 2. REVIEW OF ELLIPTIC CURVES -- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- Chapter 4. THE FORMALISM OF MODULI PROBLEMS -- Chapter 5. REGULARITY THEOREMS -- Chapter 6. CYCLICITY -- Chapter 7. QUOTIENTS BY FINITE GROUPS -- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- NOTES ADDED IN PROOF -- REFERENCES
Record Nr. UNINA-9910154753303321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
Autore Rogawski Jonathan David
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (273 pages)
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Unitary groups
Trace formulas
Representations of groups
Automorphic forms
Soggetto non controllato Abelian group
Abuse of notation
Addition
Admissible representation
Algebraic closure
Algebraic group
Algebraic number field
Asymptotic expansion
Automorphism
Base change map
Base change
Bijection
Borel subgroup
Cartan subgroup
Class function (algebra)
Coefficient
Combination
Compact group
Complementary series representation
Complex number
Congruence subgroup
Conjugacy class
Continuous function
Corollary
Countable set
Diagram (category theory)
Differential operator
Dimension (vector space)
Dimension
Discrete spectrum
Division algebra
Division by zero
Eigenvalues and eigenvectors
Embedding
Equation
Existential quantification
Finite set
Fourier transform
Fundamental lemma (Langlands program)
G factor (psychometrics)
Galois group
Global field
Haar measure
Hecke algebra
Homomorphism
Hyperbolic set
Index notation
Irreducible representation
Isomorphism class
L-function
Langlands classification
Linear combination
Local field
Mathematical induction
Maximal compact subgroup
Maximal torus
Morphism
Multiplicative group
Neighbourhood (mathematics)
Orbital integral
Oscillator representation
P-adic number
Parity (mathematics)
Principal series representation
Quaternion algebra
Quaternion
Reductive group
Regular element
Remainder
Representation theory
Ring of integers
Scientific notation
Semisimple algebra
Set (mathematics)
Shimura variety
Simple algebra
Smoothness
Special case
Stable distribution
Subgroup
Summation
Support (mathematics)
Tate conjecture
Tensor product
Theorem
Trace formula
Triangular matrix
Unitary group
Variable (mathematics)
Weight function
Weil group
ISBN 1-4008-8244-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index
Record Nr. UNINA-9910154747203321
Rogawski Jonathan David  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein
Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (436 pages) : illustrations
Disciplina 515/.2433
Collana Annals of Mathematics Studies
Soggetto topico Harmonic analysis
Soggetto non controllato Analytic function
Asymptotic formula
Bergman metric
Bernhard Riemann
Bessel function
Biholomorphism
Boundary value problem
Bounded mean oscillation
Bounded operator
Boundedness
Cauchy's integral formula
Characteristic function (probability theory)
Characterization (mathematics)
Coefficient
Commutator
Complexification (Lie group)
Continuous function
Convolution
Degeneracy (mathematics)
Differential equation
Differential operator
Dirac delta function
Dirichlet problem
Equation
Estimation
Existence theorem
Existential quantification
Explicit formula
Explicit formulae (L-function)
Fatou's theorem
Fourier analysis
Fourier integral operator
Fourier transform
Fredholm theory
Fubini's theorem
Function (mathematics)
Functional calculus
Fundamental solution
Gaussian curvature
Hardy space
Harmonic analysis
Harmonic function
Harmonic measure
Heisenberg group
Hilbert space
Hilbert transform
Hodge theory
Holomorphic function
Hyperbolic partial differential equation
Hölder's inequality
Infimum and supremum
Integration by parts
Interpolation theorem
Intersection (set theory)
Invertible matrix
Isometry group
Laplace operator
Laplace's equation
Lebesgue measure
Linear map
Lipschitz continuity
Lipschitz domain
Lp space
Mathematical induction
Mathematical physics
Maximal function
Maximum principle
Measure (mathematics)
Newtonian potential
Non-Euclidean geometry
Number theory
Operator theory
Oscillatory integral
Parameter
Partial derivative
Partial differential equation
Polynomial
Power series
Product metric
Radon–Nikodym theorem
Riemannian manifold
Riesz representation theorem
Scientific notation
Several complex variables
Sign (mathematics)
Simultaneous equations
Singular function
Singular integral
Sobolev space
Square (algebra)
Statistical hypothesis testing
Stokes' theorem
Support (mathematics)
Tangent space
Tensor product
Theorem
Trigonometric series
Uniformization theorem
Variable (mathematics)
Vector field
ISBN 1-4008-8209-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter
Record Nr. UNINA-9910154749103321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman
Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman
Autore Birman Joan S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (241 pages) : illustrations
Disciplina 514/.224
Collana Annals of Mathematics Studies
Soggetto topico Braid theory
Knot theory
Representations of groups
Soggetto non controllato Addition
Alexander polynomial
Algebraic structure
Automorphism
Ball (mathematics)
Bijection
Braid group
Braid theory
Branched covering
Burau representation
Calculation
Cartesian coordinate system
Characterization (mathematics)
Coefficient
Combinatorial group theory
Commutative property
Commutator subgroup
Configuration space
Conjugacy class
Corollary
Covering space
Dehn twist
Determinant
Diagram (category theory)
Dimension
Disjoint union
Double coset
Eigenvalues and eigenvectors
Enumeration
Equation
Equivalence class
Exact sequence
Existential quantification
Faithful representation
Finite set
Free abelian group
Free group
Fundamental group
Geometry
Group (mathematics)
Group ring
Groupoid
Handlebody
Heegaard splitting
Homeomorphism
Homomorphism
Homotopy group
Homotopy
Identity element
Identity matrix
Inclusion map
Initial point
Integer matrix
Integer
Knot polynomial
Knot theory
Lens space
Line segment
Line–line intersection
Link group
Low-dimensional topology
Mapping class group
Mathematical induction
Mathematics
Matrix group
Matrix representation
Monograph
Morphism
Natural transformation
Normal matrix
Notation
Orientability
Parity (mathematics)
Permutation
Piecewise linear
Pointwise
Polynomial
Prime knot
Projection (mathematics)
Proportionality (mathematics)
Quotient group
Requirement
Rewriting
Riemann surface
Semigroup
Sequence
Special case
Subgroup
Submanifold
Subset
Symmetric group
Theorem
Theory
Topology
Trefoil knot
Two-dimensional space
Unimodular matrix
Unit vector
Variable (mathematics)
Word problem (mathematics)
ISBN 1-4008-8142-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BRAID GROUPS -- CHAPTER 2. BRAIDS AND LINKS -- CHAPTER 3. MAGNUS REPRESENTATIONS -- CHAPTER 4. MAPPING CLASS GROUPS -- CHAPTER 5. PLATS AND LINKS -- APPENDIX: RESEARCH PROBLEMS -- BIBLIOGRAPHY -- INDEX -- Backmatter
Record Nr. UNINA-9910154753103321
Birman Joan S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
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.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
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  
Princeton, NJ : , : Princeton University Press, , [2016]
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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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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
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  
Princeton, NJ : , : Princeton University Press, , [2016]
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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Autore Kato Kazuya (Kazuya)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Descrizione fisica 1 online resource (349 p.)
Disciplina 514/.74
Collana Annals of Mathematics Studies
Soggetto topico Hodge theory
Logarithms
Soggetto non controllato Algebraic group
Algebraic variety
Analytic manifold
Analytic space
Annulus (mathematics)
Arithmetic group
Atlas (topology)
Canonical map
Classifying space
Coefficient
Cohomology
Compactification (mathematics)
Complex manifold
Complex number
Congruence subgroup
Conjecture
Connected component (graph theory)
Continuous function
Convex cone
Degeneracy (mathematics)
Diagram (category theory)
Differential form
Direct image functor
Divisor
Elliptic curve
Equivalence class
Existential quantification
Finite set
Functor
Geometry
Hodge structure
Hodge theory
Homeomorphism
Homomorphism
Inverse function
Iwasawa decomposition
Local homeomorphism
Local ring
Local system
Logarithmic
Maximal compact subgroup
Modular curve
Modular form
Moduli space
Monodromy
Monoid
Morphism
Natural number
Nilpotent orbit
Nilpotent
Open problem
Open set
P-adic Hodge theory
P-adic number
Point at infinity
Proper morphism
Pullback (category theory)
Quotient space (topology)
Rational number
Relative interior
Ring (mathematics)
Ring homomorphism
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Smooth morphism
Special case
Strong topology
Subgroup
Subobject
Subset
Surjective function
Tangent bundle
Taylor series
Theorem
Topological space
Topology
Transversality (mathematics)
Two-dimensional space
Vector bundle
Vector space
Weak topology
ISBN 1-4008-3711-1
0-691-13822-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index
Record Nr. UNINA-9910791746503321
Kato Kazuya (Kazuya)  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Autore Kato Kazuya (Kazuya)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Descrizione fisica 1 online resource (349 p.)
Disciplina 514/.74
Collana Annals of Mathematics Studies
Soggetto topico Hodge theory
Logarithms
Soggetto non controllato Algebraic group
Algebraic variety
Analytic manifold
Analytic space
Annulus (mathematics)
Arithmetic group
Atlas (topology)
Canonical map
Classifying space
Coefficient
Cohomology
Compactification (mathematics)
Complex manifold
Complex number
Congruence subgroup
Conjecture
Connected component (graph theory)
Continuous function
Convex cone
Degeneracy (mathematics)
Diagram (category theory)
Differential form
Direct image functor
Divisor
Elliptic curve
Equivalence class
Existential quantification
Finite set
Functor
Geometry
Hodge structure
Hodge theory
Homeomorphism
Homomorphism
Inverse function
Iwasawa decomposition
Local homeomorphism
Local ring
Local system
Logarithmic
Maximal compact subgroup
Modular curve
Modular form
Moduli space
Monodromy
Monoid
Morphism
Natural number
Nilpotent orbit
Nilpotent
Open problem
Open set
P-adic Hodge theory
P-adic number
Point at infinity
Proper morphism
Pullback (category theory)
Quotient space (topology)
Rational number
Relative interior
Ring (mathematics)
Ring homomorphism
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Smooth morphism
Special case
Strong topology
Subgroup
Subobject
Subset
Surjective function
Tangent bundle
Taylor series
Theorem
Topological space
Topology
Transversality (mathematics)
Two-dimensional space
Vector bundle
Vector space
Weak topology
ISBN 1-4008-3711-1
0-691-13822-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index
Record Nr. UNINA-9910809577303321
Kato Kazuya (Kazuya)  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui