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Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl



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Autore: Banagl Markus <1971-> Visualizza persona
Titolo: Extending intersection homology type invariants to non-Witt spaces / / Markus Banagl Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2002]
©2002
Descrizione fisica: 1 online resource (101 p.)
Disciplina: 510 s
514/.23
Soggetto topico: Intersection homology theory
Duality theory (Mathematics)
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (page 83).
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 set�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 self�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""
Titolo autorizzato: Extending intersection homology type invariants to non-Witt spaces  Visualizza cluster
ISBN: 1-4704-0358-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910788847903321
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Serie: Memoirs of the American Mathematical Society ; ; no. 760.