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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.
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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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Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais
| Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (379 pages) |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Atiyah-Singer index theorem
Differential topology Homology theory |
| Soggetto non controllato |
Addition
Adjoint Algebraic topology Algebraic variety Almost complex manifold Arf invariant Asymptotic expansion Atiyah–Singer index theorem Automorphism Axiom Banach space Big O notation Boundary value problem Bounded operator Characteristic class Chern class Cohomology Cokernel Compact operator Complex vector bundle Computation Connected component (graph theory) Coordinate system Corollary Cotangent bundle Differentiable function Differentiable manifold Differential operator Dimension (vector space) Dimension Disjoint union Division by zero Elliptic operator Elliptic partial differential equation Equivalence class Euclidean space Euler class Exact sequence Existential quantification Fiber bundle Formal power series Fourier transform Fredholm operator Functional analysis Gelfand Grothendieck group H-cobordism Hilbert space Hodge theory Homogeneous polynomial Homomorphism Homotopy Indeterminate (variable) Injective function Integer Isomorphism class Jet bundle K-theory L-theory Linear map Manifold Michael Atiyah Natural transformation Normal bundle Orientability Pairing Partial differential equation Polynomial ring Polynomial Principal bundle Projection (mathematics) Riemann–Roch theorem Ring (mathematics) Robert M. Solovay Sign convention Singular integral Sobolev inequality Spanning tree Special case Subgroup Submanifold Subring Suggestion Summation Surjective function Symmetric bilinear form Symmetric function Tangent bundle Tangent space Tensor product Theorem Todd class Topological vector space Uniqueness theorem Vector bundle Vector space |
| ISBN | 1-4008-8204-4 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Palais, Richard S. -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF / Borel, A. -- CHAPTER II. REVIEW OF K-THEORY / Solovay, Robert -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE / Solovay, Robert -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES / Palais, Richard S. -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS / Solovay, Robert M. -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS / Palais, Richard S. -- CHAPTER VII. FREDHDIM OPERATORS / Palais, Richard S. -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES / Palais, Richard S. -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER XI. THE SEELEY ALGEBRA / Palais, Richard S. -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX / Palaie, Richard S. -- CHAPTER XIII. WHITNEY SUMS / Palais, Richard S. -- CHAPTER XIV. TENSOR PRODUCTS / Palais, Richard S. -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) / Solovay, Robert M. -- CHAPTER XVI. CONSTRUCTION OF Intk / Palais, R. S. / Seeley, R. T. -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX / Palais, R. S. / Seeley, R. T. -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES / Floyd, E. E. -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS / Solovay, Robert M. -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY / Atiyah, M. F. -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS / Shih, Weishu -- Backmatter |
| Record Nr. | UNINA-9910154746103321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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