Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl
| Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl |
| Autore | Banagl Markus <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Intersection homology theory
Duality theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0358-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. History""; ""2. Motivation""; ""3. The Main Result: A Postnikov System of Lagrangian Structures""; ""4. Consequences: Characteristic Classes""; ""5. Ordered Resolutions � A Model Construction""; ""6. Applications""; ""7. Further Developments""; ""8. Sign Questions""; ""9. Some Remarks on Coefficients""; ""10. Acknowledgments""; ""11. Notation""; ""Chapter 2. The Algebraic Framework""; ""1. The Lifting Obstruction""; ""2. The Category of Self�Dual Sheaves Compatible with IH""; ""3. Lagrangian Structures""
""4. Extracting Lagrangian Structures from Selfâ€?Dual Sheaves""""5. Lagrangian Structures as Building Blocks for Selfâ€?Dual Sheaves""; ""6. A Postnikov system""; ""Chapter 3. Ordered Resolutions""; ""1. The Purpose of the Construction""; ""2. Definitions""; ""3. The PL Construction""; ""4. Inductive Singularization of a Manifold""; ""Chapter 4. The Cobordism Group Ω[sup(SD)][sub(*)]""; ""1. The Closed Objects""; ""2. The Admissible Cobordisms""; ""3. The Cobordism Invariance of Ï?""; ""4. Relation to Witt Space Cobordism""; ""Chapter 5. Lagrangian Structures and Ordered Resolutions"" ""1. Statement of Result""""2. The inductive setâ€?up""; ""3. Construction of a nonsingular pairing on H[sup(k)](j*S[sup[.)]""; ""4. Stalks of H[sup(k)](j*S[sup[.)] as the hypercohomology of the link of Σ""; ""5. The restriction of L[[sup(.)](X[sup((m))]) to V(x) is selfâ€?dual""; ""6. The construction of a Lagrangian subsheaf of H[sup(k)](j*S[sup[.)]""; ""7. The definition of L[sup(.)](X[sup((m+1))])""; ""Appendix A. On Signs""; ""Bibliography"" |
| Record Nr. | UNINA-9910478884103321 |
Banagl Markus <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl
| Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl |
| Autore | Banagl Markus <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Intersection homology theory
Duality theory (Mathematics) |
| ISBN | 1-4704-0358-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. History""; ""2. Motivation""; ""3. The Main Result: A Postnikov System of Lagrangian Structures""; ""4. Consequences: Characteristic Classes""; ""5. Ordered Resolutions � A Model Construction""; ""6. Applications""; ""7. Further Developments""; ""8. Sign Questions""; ""9. Some Remarks on Coefficients""; ""10. Acknowledgments""; ""11. Notation""; ""Chapter 2. The Algebraic Framework""; ""1. The Lifting Obstruction""; ""2. The Category of Self�Dual Sheaves Compatible with IH""; ""3. Lagrangian Structures""
""4. Extracting Lagrangian Structures from Selfâ€?Dual Sheaves""""5. Lagrangian Structures as Building Blocks for Selfâ€?Dual Sheaves""; ""6. A Postnikov system""; ""Chapter 3. Ordered Resolutions""; ""1. The Purpose of the Construction""; ""2. Definitions""; ""3. The PL Construction""; ""4. Inductive Singularization of a Manifold""; ""Chapter 4. The Cobordism Group Ω[sup(SD)][sub(*)]""; ""1. The Closed Objects""; ""2. The Admissible Cobordisms""; ""3. The Cobordism Invariance of Ï?""; ""4. Relation to Witt Space Cobordism""; ""Chapter 5. Lagrangian Structures and Ordered Resolutions"" ""1. Statement of Result""""2. The inductive setâ€?up""; ""3. Construction of a nonsingular pairing on H[sup(k)](j*S[sup[.)]""; ""4. Stalks of H[sup(k)](j*S[sup[.)] as the hypercohomology of the link of Σ""; ""5. The restriction of L[[sup(.)](X[sup((m))]) to V(x) is selfâ€?dual""; ""6. The construction of a Lagrangian subsheaf of H[sup(k)](j*S[sup[.)]""; ""7. The definition of L[sup(.)](X[sup((m+1))])""; ""Appendix A. On Signs""; ""Bibliography"" |
| Record Nr. | UNINA-9910788847903321 |
Banagl Markus <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl
| Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl |
| Autore | Banagl Markus <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Intersection homology theory
Duality theory (Mathematics) |
| ISBN | 1-4704-0358-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. History""; ""2. Motivation""; ""3. The Main Result: A Postnikov System of Lagrangian Structures""; ""4. Consequences: Characteristic Classes""; ""5. Ordered Resolutions � A Model Construction""; ""6. Applications""; ""7. Further Developments""; ""8. Sign Questions""; ""9. Some Remarks on Coefficients""; ""10. Acknowledgments""; ""11. Notation""; ""Chapter 2. The Algebraic Framework""; ""1. The Lifting Obstruction""; ""2. The Category of Self�Dual Sheaves Compatible with IH""; ""3. Lagrangian Structures""
""4. Extracting Lagrangian Structures from Selfâ€?Dual Sheaves""""5. Lagrangian Structures as Building Blocks for Selfâ€?Dual Sheaves""; ""6. A Postnikov system""; ""Chapter 3. Ordered Resolutions""; ""1. The Purpose of the Construction""; ""2. Definitions""; ""3. The PL Construction""; ""4. Inductive Singularization of a Manifold""; ""Chapter 4. The Cobordism Group Ω[sup(SD)][sub(*)]""; ""1. The Closed Objects""; ""2. The Admissible Cobordisms""; ""3. The Cobordism Invariance of Ï?""; ""4. Relation to Witt Space Cobordism""; ""Chapter 5. Lagrangian Structures and Ordered Resolutions"" ""1. Statement of Result""""2. The inductive setâ€?up""; ""3. Construction of a nonsingular pairing on H[sup(k)](j*S[sup[.)]""; ""4. Stalks of H[sup(k)](j*S[sup[.)] as the hypercohomology of the link of Σ""; ""5. The restriction of L[[sup(.)](X[sup((m))]) to V(x) is selfâ€?dual""; ""6. The construction of a Lagrangian subsheaf of H[sup(k)](j*S[sup[.)]""; ""7. The definition of L[sup(.)](X[sup((m+1))])""; ""Appendix A. On Signs""; ""Bibliography"" |
| Record Nr. | UNINA-9910812750703321 |
Banagl Markus <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||