Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu
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| Autore: |
Nicolaescu Liviu I.
|
| Titolo: |
Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| ©1997 | |
| Descrizione fisica: | 1 online resource (98 p.) |
| Disciplina: | 510 s |
| 514/.74 | |
| Soggetto topico: | Index theorems |
| Geometry, Differential | |
| Symplectic manifolds | |
| Note generali: | "July 1997, volume 128, number 609 (first of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references (pages 78-80). |
| Nota di contenuto: | ""Contents""; ""1 Algebraic preliminaries""; ""Â1.1 Clifford algebras""; ""Â1.2 Clifford modules""; ""2 Topological preliminaries""; ""Â2.1 Karoubi's K[Sup(p,q)]-theory""; ""Â2.2 Some elementary examples""; ""Â2.3 Classifying spaces""; ""3 (p,q)-lagrangians and classifying spaces for K-theory""; ""Â3.1 (p,q)-lagrangian subspaces""; ""Â3.2 Graphs of linear operators and lagrangians""; ""Â3.3 The components of FL[Sup(p,q)]""; ""Â3.4 The homotopy type of FL[Sup(p,q)]""; ""4 Symplectic reductions""; ""Â4.1 Generalized symplectic geometries"" |
| ""Â4.2 Homotopic properties of the symplectic reduction process""""Â4.3 The generalized Maslov index""; ""Â4.4 Comparison with the traditional Maslov index""; ""5 Clifford symmetric Fredholm operators""; ""Â5.1 The space F[Sup(p,q)]""; ""Â5.2 Hamiltonian (p,q)-modules""; ""Â5.3 The graph map and generalized Floer operators""; ""Â5.4 Examples""; ""6 Families of boundary value problems for Dirac operators""; ""Â6.1 (p,q)-Dirac operators and their Calderon projections""; ""Â6.2 The index of families of boundary value problems""; ""Â6.3 The cobordism in variance of the families index"" | |
| Titolo autorizzato: | Generalized symplectic geometries and the index of families of elliptic problems |
| ISBN: | 1-4704-0194-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910806183403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 609.