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Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu



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Autore: Nicolaescu Liviu I. Visualizza persona
Titolo: Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu Visualizza cluster
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  Visualizza cluster
ISBN: 1-4704-0194-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910806183403321
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Serie: Memoirs of the American Mathematical Society ; ; no. 609.