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A course on surgery theory / / Stanley Chang, Shmuel Weinberger [[electronic resource]]
| A course on surgery theory / / Stanley Chang, Shmuel Weinberger [[electronic resource]] |
| Autore | Chang Stanley |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , 2021 |
| Descrizione fisica | 1 online resource (472 p.) : 14 b/w illus |
| Disciplina | 605 |
| Collana |
Annals of mathematics studies
Princeton scholarship online |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Borel conjecture
Chapman-Ferry Farrell-Hsiang Kirby-Siebenmann L-theory Novikov conjecture PL category PL topology algebraic topology assembly map assembly perspective on surgery bounded topology classification of manifolds controlled topology differential topology fibration flat manifolds homology manifolds homology surgery homotopy invariant homotopy theory index theorem induction theory manifold theory quadratic form theory quadratic form representation theory smooth category splitting theorems stratified spaces surgery exact sequence surgery obstruction group tangent bundle topological category topological surgery theory topology |
| ISBN | 0-691-20035-1 |
| Classificazione | 415.7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index |
| Record Nr. | UNINA-9910554281203321 |
Chang Stanley
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| Princeton : , : Princeton University Press, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
| Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (357 pages) : illustrations |
| Disciplina | 514 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topology |
| Soggetto non controllato |
Adjunction (field theory)
Algebraic cycle Algebraic topology Analytic function Automorphism Base change Basis (linear algebra) Borel conjecture Characteristic class Circle group Classifying space Cobordism Codimension Cohomology ring Cohomology Combinatorial group theory Commutative diagram Commutative property Compactification (mathematics) Coxeter group Cyclic group Cyclic homology Diagram (category theory) Diffeomorphism Differentiable manifold Differential topology Dimension (vector space) Dirac operator Discrete valuation ring Divisor (algebraic geometry) Elliptic operator Equivariant K-theory Equivariant cohomology Equivariant map Exterior (topology) Exterior algebra Fiber bundle Fibration Fundamental group Gauss map Geometrization conjecture Group algebra H-cobordism Homeomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Identity matrix Inclusion map Intersection form (4-manifold) Isomorphism class J-homomorphism Knot theory L-theory Lens space Lie algebra Lie group Linear algebra Mapping cone (homological algebra) Mapping cone (topology) Marriage theorem Metric space Moduli space Motivic cohomology Neighbourhood (mathematics) Operator norm Pushout (category theory) Quasi-isometry Quotient space (topology) Real projective space Regularization (mathematics) Representation theory Riemann surface Riemannian manifold Set (mathematics) Sheaf (mathematics) Sign (mathematics) Simplicial complex Stable homotopy theory Subgroup Submanifold Submersion (mathematics) Subset Support (mathematics) Sylow theorems Tangent space Theorem Topological K-theory Topological group Topological manifold Topological space Topology Torsion sheaf Transversality (mathematics) Unification (computer science) Vector bundle Whitehead torsion Zariski topology Zorn's lemma |
| ISBN | 1-4008-8258-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Program of the Conference -- Mathematical descendants of William Browder -- The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen-Macaulay / Adem, Alejandro / Milgram, R. James -- Algebraic Geometric Invariants for Homotopy Actions / Assadi, Amir H. -- Algebraic K-Theory of Local Number Fields: The Unramified Case / Bokstedt, M. / Madsen, I. -- The Mapping Cone and Cylinder of a Stratified Map / Cappell, Sylvain E. / Shaneson, Julius L. -- Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds / Cappell, Sylvain / Weinberger, Shmuel -- Finite K (π, 1)s for Artin Groups / Charney, Ruth / Davis, Michael W. -- Double Point Manifolds of Immersions of Spheres in Euclidean Space / Eccles, Peter J. -- Controlled Linear Algebra / Freedman, Michael H. / Wang, Zhenghan -- Non-Linear Similarity Revisited / Hambleton, Ian / Pedersen, Erik K. -- On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces / Hausmann, Jean-Claude -- Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert's Fifth Problem / Illman, Sören -- Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks / Katz, Gabriel -- Stable Prime Decompositions of Four-Manifolds / Kreck, Matthias / Luck, Wolfgang / Teichner, Peter -- Smooth Correspondences / Morava, Jack -- Simply Connected 6-Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space / Puppe, Volker -- Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse / Quinn, Frank -- Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View -- Exterior d, the Local Degree, and Smoothability / Sullivan, Dennis -- Contributors |
| Record Nr. | UNINA-9910154749503321 |
| 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 | ||
| ||
Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910786749403321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg
| Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
| Descrizione fisica | 1 online resource (446 p.) |
| Disciplina | 514.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Surgery (Topology) |
| Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
| ISBN |
0-691-08814-4
1-4008-6521-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
| Record Nr. | UNINA-9910811911303321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||