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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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Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors
| Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (334 p.) |
| Disciplina | 514 |
| Collana | Contemporary mathematics |
| Soggetto topico | Topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7822-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Vanishing theorems on covering manifolds""; ""1. Introduction""; ""2. L 2 vanishing theorem for the half-kernel of a Dirac operator""; ""3. Complex manifolds. The L 2 analogue of the Andreotti-Grauert theorem""; ""4. Almost complex manifolds. An analogue of the Andreotti-Grauert theorem.""; ""5. Application to the representation theory""; ""6. Proof of the vanishing theorem for the half-kernel of a Dirac operator""; ""7. Proof of the Andreotti-Grauert-type theorem for almost complex manifolds""; ""8. Proof of the L 2 Andreotti-Grauert theorem""
""9. The Lichnerowicz formula. Proof of Propositions 6.3 and 7.1""""10. Estimate of the metric Laplacian""; ""References""; ""The Sunada method""; ""Relative torsion for homotopy triangulations""; ""0. Introduction and statements of the results.""; ""1. Operators and complexes and the proof of the first four results.""; ""2. Anomalies for the relative torsion.""; ""3. References.""; ""Non-linear similarity and linear similarity are equivariant below dimension 6""; ""Massey products and critical points""; ""Absolute torsion"" ""Signatures of links and finite type invariants of cyclic branched covers""""The relation between compact and non-compact equivariant cobordisms""; ""Volume of Riemannian manifolds, geometric inequalities, and homotopy theory""; ""Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds""; ""1. Introduction""; ""2. Statement of Results""; ""3. Proof of Theorem 1""; ""4. Proof of Proposition 2.1""; ""5. Proof of Theorem 2""; ""6. Proof of Theorems 3 and 4.""; ""7. Proof of Proposition 2.2""; ""8. Proof of Theorem 5""; ""References"" ""Novikov-Shubin invariants for arbitrary group actions and their positivity""""Differential operator endomorphisms of an Euler-Lagrange complex""; ""1. Introduction""; ""2. First toys""; ""3. More serious models""; ""4. Main results""; ""5. Proofs""; ""6. Applications""; ""K-theory of twisted group C*-algebras and positive scalar curvature""; ""Equivariant orientations and Thorn isomorphisms""; ""1. The fundamental groupoid and categorical definitions""; ""2. Functors to the category of G-spaces over orbits""; ""3. Coherent families of connected covers"" |
| Record Nr. | UNINA-9910480307903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors
| Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (334 p.) |
| Disciplina | 514 |
| Collana | Contemporary mathematics |
| Soggetto topico | Topology |
| ISBN | 0-8218-7822-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Vanishing theorems on covering manifolds""; ""1. Introduction""; ""2. L 2 vanishing theorem for the half-kernel of a Dirac operator""; ""3. Complex manifolds. The L 2 analogue of the Andreotti-Grauert theorem""; ""4. Almost complex manifolds. An analogue of the Andreotti-Grauert theorem.""; ""5. Application to the representation theory""; ""6. Proof of the vanishing theorem for the half-kernel of a Dirac operator""; ""7. Proof of the Andreotti-Grauert-type theorem for almost complex manifolds""; ""8. Proof of the L 2 Andreotti-Grauert theorem""
""9. The Lichnerowicz formula. Proof of Propositions 6.3 and 7.1""""10. Estimate of the metric Laplacian""; ""References""; ""The Sunada method""; ""Relative torsion for homotopy triangulations""; ""0. Introduction and statements of the results.""; ""1. Operators and complexes and the proof of the first four results.""; ""2. Anomalies for the relative torsion.""; ""3. References.""; ""Non-linear similarity and linear similarity are equivariant below dimension 6""; ""Massey products and critical points""; ""Absolute torsion"" ""Signatures of links and finite type invariants of cyclic branched covers""""The relation between compact and non-compact equivariant cobordisms""; ""Volume of Riemannian manifolds, geometric inequalities, and homotopy theory""; ""Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds""; ""1. Introduction""; ""2. Statement of Results""; ""3. Proof of Theorem 1""; ""4. Proof of Proposition 2.1""; ""5. Proof of Theorem 2""; ""6. Proof of Theorems 3 and 4.""; ""7. Proof of Proposition 2.2""; ""8. Proof of Theorem 5""; ""References"" ""Novikov-Shubin invariants for arbitrary group actions and their positivity""""Differential operator endomorphisms of an Euler-Lagrange complex""; ""1. Introduction""; ""2. First toys""; ""3. More serious models""; ""4. Main results""; ""5. Proofs""; ""6. Applications""; ""K-theory of twisted group C*-algebras and positive scalar curvature""; ""Equivariant orientations and Thorn isomorphisms""; ""1. The fundamental groupoid and categorical definitions""; ""2. Functors to the category of G-spaces over orbits""; ""3. Coherent families of connected covers"" |
| Altri titoli varianti | Tel Aviv Topology Conference |
| Record Nr. | UNINA-9910788650703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors
| Tel Aviv Topology Conference, Rothenberg festschrift : International Conference on Topology, June 1-5, 1998, Tel Aviv / / Michael Farber, Wolfgang Lück, Shmuel Weinberger, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (334 p.) |
| Disciplina | 514 |
| Collana | Contemporary mathematics |
| Soggetto topico | Topology |
| ISBN | 0-8218-7822-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Vanishing theorems on covering manifolds""; ""1. Introduction""; ""2. L 2 vanishing theorem for the half-kernel of a Dirac operator""; ""3. Complex manifolds. The L 2 analogue of the Andreotti-Grauert theorem""; ""4. Almost complex manifolds. An analogue of the Andreotti-Grauert theorem.""; ""5. Application to the representation theory""; ""6. Proof of the vanishing theorem for the half-kernel of a Dirac operator""; ""7. Proof of the Andreotti-Grauert-type theorem for almost complex manifolds""; ""8. Proof of the L 2 Andreotti-Grauert theorem""
""9. The Lichnerowicz formula. Proof of Propositions 6.3 and 7.1""""10. Estimate of the metric Laplacian""; ""References""; ""The Sunada method""; ""Relative torsion for homotopy triangulations""; ""0. Introduction and statements of the results.""; ""1. Operators and complexes and the proof of the first four results.""; ""2. Anomalies for the relative torsion.""; ""3. References.""; ""Non-linear similarity and linear similarity are equivariant below dimension 6""; ""Massey products and critical points""; ""Absolute torsion"" ""Signatures of links and finite type invariants of cyclic branched covers""""The relation between compact and non-compact equivariant cobordisms""; ""Volume of Riemannian manifolds, geometric inequalities, and homotopy theory""; ""Pure braids, a new subgroup of the mapping class group and finite-type invariants of 3-manifolds""; ""1. Introduction""; ""2. Statement of Results""; ""3. Proof of Theorem 1""; ""4. Proof of Proposition 2.1""; ""5. Proof of Theorem 2""; ""6. Proof of Theorems 3 and 4.""; ""7. Proof of Proposition 2.2""; ""8. Proof of Theorem 5""; ""References"" ""Novikov-Shubin invariants for arbitrary group actions and their positivity""""Differential operator endomorphisms of an Euler-Lagrange complex""; ""1. Introduction""; ""2. First toys""; ""3. More serious models""; ""4. Main results""; ""5. Proofs""; ""6. Applications""; ""K-theory of twisted group C*-algebras and positive scalar curvature""; ""Equivariant orientations and Thorn isomorphisms""; ""1. The fundamental groupoid and categorical definitions""; ""2. Functors to the category of G-spaces over orbits""; ""3. Coherent families of connected covers"" |
| Altri titoli varianti | Tel Aviv Topology Conference |
| Record Nr. | UNINA-9910812583403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||