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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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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 |
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Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit
| A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit |
| Autore | Farb Benson |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (489 p.) |
| Disciplina | 512.7/4 |
| Altri autori (Persone) | MargalitDan <1976-> |
| Collana | Princeton mathematical series |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
3-manifold theory
Alexander method Birman exact sequence BirmanЈilden theorem Dehn twists DehnЌickorish theorem DehnЎielsenЂaer theorem Dennis Johnson Euler class FenchelЎielsen coordinates Gervais presentation Grtzsch's problem Johnson homomorphism Markov partitions Meyer signature cocycle Mod(S) Nielsen realization theorem NielsenДhurston classification theorem NielsenДhurston classification Riemann surface Teichmller mapping Teichmller metric Teichmller space Thurston compactification Torelli group Wajnryb presentation algebraic integers algebraic intersection number algebraic relations algebraic structure annulus aspherical manifold bigon criterion braid group branched cover capping homomorphism classifying space closed surface collar lemma compactness criterion complex of curves configuration space conjugacy class coordinates principle cutting homomorphism cyclic subgroup diffeomorphism disk existence theorem extended mapping class group finite index finite subgroup finite-order homeomorphism finite-order mapping class first homology group geodesic laminations geometric classification geometric group theory geometric intersection number geometric operation geometry harmonic maps holomorphic quadratic differential homeomorphism homological criterion homotopy hyperbolic geometry hyperbolic plane hyperbolic structure hyperbolic surface inclusion homomorphism infinity intersection number isotopy lantern relation low-dimensional homology mapping class group mapping torus measured foliation space measured foliations metric geometry moduli space orbifold orbit outer automorphism group pseudo-Anosov homeomorphism punctured disk quasi-isometry quasiconformal map second homology group simple closed curve simplicial complex stretch factors surface bundles surface homeomorphism surface symplectic representation topology torsion torus train track |
| ISBN |
1-283-22743-6
9786613227430 1-4008-3904-1 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. |
| Record Nr. | UNINA-9910461382703321 |
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Farb Benson
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| Princeton, N.J., : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit
| A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit |
| Autore | Farb Benson |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (489 p.) |
| Disciplina | 512.7/4 |
| Altri autori (Persone) | MargalitDan <1976-> |
| Collana | Princeton mathematical series |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) |
| Soggetto non controllato |
3-manifold theory
Alexander method Birman exact sequence BirmanЈilden theorem Dehn twists DehnЌickorish theorem DehnЎielsenЂaer theorem Dennis Johnson Euler class FenchelЎielsen coordinates Gervais presentation Grtzsch's problem Johnson homomorphism Markov partitions Meyer signature cocycle Mod(S) Nielsen realization theorem NielsenДhurston classification theorem NielsenДhurston classification Riemann surface Teichmller mapping Teichmller metric Teichmller space Thurston compactification Torelli group Wajnryb presentation algebraic integers algebraic intersection number algebraic relations algebraic structure annulus aspherical manifold bigon criterion braid group branched cover capping homomorphism classifying space closed surface collar lemma compactness criterion complex of curves configuration space conjugacy class coordinates principle cutting homomorphism cyclic subgroup diffeomorphism disk existence theorem extended mapping class group finite index finite subgroup finite-order homeomorphism finite-order mapping class first homology group geodesic laminations geometric classification geometric group theory geometric intersection number geometric operation geometry harmonic maps holomorphic quadratic differential homeomorphism homological criterion homotopy hyperbolic geometry hyperbolic plane hyperbolic structure hyperbolic surface inclusion homomorphism infinity intersection number isotopy lantern relation low-dimensional homology mapping class group mapping torus measured foliation space measured foliations metric geometry moduli space orbifold orbit outer automorphism group pseudo-Anosov homeomorphism punctured disk quasi-isometry quasiconformal map second homology group simple closed curve simplicial complex stretch factors surface bundles surface homeomorphism surface symplectic representation topology torsion torus train track |
| ISBN |
1-283-22743-6
9786613227430 1-4008-3904-1 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. |
| Record Nr. | UNINA-9910789789803321 |
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Farb Benson
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| Princeton, N.J., : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||