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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
Autore Bushnell C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (327 pages) : illustrations
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Representations of groups
Nonstandard mathematical analysis
Soggetto non controllato Abelian group
Abuse of notation
Additive group
Affine Hecke algebra
Algebra homomorphism
Approximation
Automorphism
Bijection
Block matrix
Calculation
Cardinality
Classical group
Computation
Conjecture
Conjugacy class
Contradiction
Corollary
Coset
Critical exponent
Diagonal matrix
Dimension (vector space)
Dimension
Discrete series representation
Discrete valuation ring
Divisor
Eigenvalues and eigenvectors
Equivalence class
Exact sequence
Exactness
Existential quantification
Explicit formula
Explicit formulae (L-function)
Field extension
Finite group
Functor
Gauss sum
General linear group
Group theory
Haar measure
Harmonic analysis
Hecke algebra
Homomorphism
Identity matrix
Induced representation
Integer
Irreducible representation
Isomorphism class
Iwahori subgroup
Jordan normal form
Levi decomposition
Local Langlands conjectures
Local field
Locally compact group
Mathematics
Matrix coefficient
Maximal compact subgroup
Maximal ideal
Multiset
Normal subgroup
P-adic number
Permutation matrix
Polynomial
Profinite group
Quantity
Rational number
Reductive group
Representation theory
Requirement
Residue field
Ring (mathematics)
Scientific notation
Simple module
Special case
Sub"ient
Subgroup
Subset
Support (mathematics)
Symmetric group
Tensor product
Terminology
Theorem
Topological group
Topology
Vector space
Weil group
Weyl group
ISBN 1-4008-8249-4
Classificazione SK 340
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology
Record Nr. UNINA-9910154750803321
Bushnell C.  
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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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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Euler systems / / by Karl Rubin
Euler systems / / by Karl Rubin
Autore Rubin Karl
Pubbl/distr/stampa Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Descrizione fisica 1 online resource (241 p.)
Disciplina 512/.74
Collana Annals of Mathematics Studies
Soggetto topico Algebraic number theory
p-adic numbers
Soggetto non controllato Abelian extension
Abelian variety
Absolute Galois group
Algebraic closure
Barry Mazur
Big O notation
Birch and Swinnerton-Dyer conjecture
Cardinality
Class field theory
Coefficient
Cohomology
Complex multiplication
Conjecture
Corollary
Cyclotomic field
Dimension (vector space)
Divisibility rule
Eigenvalues and eigenvectors
Elliptic curve
Error term
Euler product
Euler system
Exact sequence
Existential quantification
Field of fractions
Finite set
Functional equation
Galois cohomology
Galois group
Galois module
Gauss sum
Global field
Heegner point
Ideal class group
Integer
Inverse limit
Inverse system
Karl Rubin
Local field
Mathematical induction
Maximal ideal
Modular curve
Modular elliptic curve
Natural number
Orthogonality
P-adic number
Pairing
Principal ideal
R-factor (crystallography)
Ralph Greenberg
Remainder
Residue field
Ring of integers
Scientific notation
Selmer group
Subgroup
Tate module
Taylor series
Tensor product
Theorem
Upper and lower bounds
Victor Kolyvagin
ISBN 0-691-05075-9
1-4008-6520-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index
Record Nr. UNINA-9910786510103321
Rubin Karl  
Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Euler systems / / by Karl Rubin
Euler systems / / by Karl Rubin
Autore Rubin Karl
Pubbl/distr/stampa Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Descrizione fisica 1 online resource (241 p.)
Disciplina 512/.74
Collana Annals of Mathematics Studies
Soggetto topico Algebraic number theory
p-adic numbers
Soggetto non controllato Abelian extension
Abelian variety
Absolute Galois group
Algebraic closure
Barry Mazur
Big O notation
Birch and Swinnerton-Dyer conjecture
Cardinality
Class field theory
Coefficient
Cohomology
Complex multiplication
Conjecture
Corollary
Cyclotomic field
Dimension (vector space)
Divisibility rule
Eigenvalues and eigenvectors
Elliptic curve
Error term
Euler product
Euler system
Exact sequence
Existential quantification
Field of fractions
Finite set
Functional equation
Galois cohomology
Galois group
Galois module
Gauss sum
Global field
Heegner point
Ideal class group
Integer
Inverse limit
Inverse system
Karl Rubin
Local field
Mathematical induction
Maximal ideal
Modular curve
Modular elliptic curve
Natural number
Orthogonality
P-adic number
Pairing
Principal ideal
R-factor (crystallography)
Ralph Greenberg
Remainder
Residue field
Ring of integers
Scientific notation
Selmer group
Subgroup
Tate module
Taylor series
Tensor product
Theorem
Upper and lower bounds
Victor Kolyvagin
ISBN 0-691-05075-9
1-4008-6520-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index
Record Nr. UNINA-9910816804403321
Rubin Karl  
Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (200 pages)
Disciplina 512/.4
Collana Annals of Mathematics Studies
Soggetto topico Associative rings
Abelian groups
Functor theory
Soggetto non controllato Abelian group
Absolute value
Addition
Algebraic K-theory
Algebraic equation
Algebraic integer
Banach algebra
Basis (linear algebra)
Big O notation
Circle group
Coefficient
Commutative property
Commutative ring
Commutator
Complex number
Computation
Congruence subgroup
Coprime integers
Cyclic group
Dedekind domain
Direct limit
Direct proof
Direct sum
Discrete valuation
Division algebra
Division ring
Elementary matrix
Elliptic function
Exact sequence
Existential quantification
Exterior algebra
Factorization
Finite group
Free abelian group
Function (mathematics)
Fundamental group
Galois extension
Galois group
General linear group
Group extension
Hausdorff space
Homological algebra
Homomorphism
Homotopy
Ideal (ring theory)
Ideal class group
Identity element
Identity matrix
Integral domain
Invertible matrix
Isomorphism class
K-theory
Kummer theory
Lattice (group)
Left inverse
Local field
Local ring
Mathematics
Matsumoto's theorem
Maximal ideal
Meromorphic function
Monomial
Natural number
Noetherian
Normal subgroup
Number theory
Open set
Picard group
Polynomial
Prime element
Prime ideal
Projective module
Quadratic form
Quaternion
Quotient ring
Rational number
Real number
Right inverse
Ring of integers
Root of unity
Schur multiplier
Scientific notation
Simple algebra
Special case
Special linear group
Subgroup
Summation
Surjective function
Tensor product
Theorem
Topological K-theory
Topological group
Topological space
Topology
Torsion group
Variable (mathematics)
Vector space
Wedderburn's theorem
Weierstrass function
Whitehead torsion
ISBN 1-4008-8179-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index
Record Nr. UNINA-9910154752203321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
Autore Bak Anthony
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (280 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico K-theory
Modules (Algebra)
Forms (Mathematics)
Soggetto non controllato Abelian group
Addition
Algebraic K-theory
Algebraic topology
Approximation
Arithmetic
Canonical map
Coefficient
Cokernel
Computation
Coprime integers
Coset
Direct limit
Direct product
Division ring
Elementary matrix
Exact sequence
Finite group
Finite ring
Free module
Functor
General linear group
Global field
Group homomorphism
Group ring
Homology (mathematics)
Integer
Invertible matrix
Isomorphism class
K-theory
Linear map
Local field
Matrix group
Maxima and minima
Mayer–Vietoris sequence
Module (mathematics)
Monoid
Morphism
Natural transformation
Normal subgroup
P-group
Parameter
Power of two
Product category
Projective module
Quadratic form
Requirement
Ring of integers
Semisimple algebra
Sesquilinear form
Special case
Steinberg group (K-theory)
Steinberg group
Subcategory
Subgroup
Subspace topology
Surjective function
Theorem
Theory
Topological group
Topological ring
Topology
Torsion subgroup
Triviality (mathematics)
Unification (computer science)
Unitary group
Witt group
ISBN 1-4008-8141-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter
Record Nr. UNINA-9910154747603321
Bak Anthony  
Princeton, NJ : , : Princeton University Press, , [2016]
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
Faltings Gerd  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Autore Kumpera Antonio
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Lie groups
Lie algebras
Differential equations
Soggetto non controllato Adjoint representation
Adjoint
Affine transformation
Alexander Grothendieck
Analytic function
Associative algebra
Atlas (topology)
Automorphism
Bernhard Riemann
Big O notation
Bundle map
Category of topological spaces
Cauchy–Riemann equations
Coefficient
Commutative diagram
Commutator
Complex conjugate
Complex group
Complex manifold
Computation
Conformal map
Continuous function
Coordinate system
Corollary
Cotangent bundle
Curvature tensor
Deformation theory
Derivative
Diagonal
Diffeomorphism
Differentiable function
Differential form
Differential operator
Differential structure
Direct proof
Direct sum
Ellipse
Endomorphism
Equation
Exact sequence
Exactness
Existential quantification
Exponential function
Exponential map (Riemannian geometry)
Exterior derivative
Fiber bundle
Fibration
Frame bundle
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
Group isomorphism
Groupoid
Holomorphic function
Homeomorphism
Integer
J-invariant
Jacobian matrix and determinant
Jet bundle
Linear combination
Linear map
Manifold
Maximal ideal
Model category
Morphism
Nonlinear system
Open set
Parameter
Partial derivative
Partial differential equation
Pointwise
Presheaf (category theory)
Pseudo-differential operator
Pseudogroup
Quantity
Regular map (graph theory)
Requirement
Riemann surface
Right inverse
Scalar multiplication
Sheaf (mathematics)
Special case
Structure tensor
Subalgebra
Subcategory
Subgroup
Submanifold
Subset
Tangent bundle
Tangent space
Tangent vector
Tensor field
Tensor product
Theorem
Torsion tensor
Transpose
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume element
ISBN 1-4008-8173-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index
Record Nr. UNINA-9910154751903321
Kumpera Antonio  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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