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Record Nr. |
UNINA9910806183403321 |
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Autore |
Nicolaescu Liviu I. |
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Titolo |
Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1997] |
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©1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (98 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 609 |
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Disciplina |
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Soggetti |
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Index theorems |
Geometry, Differential |
Symplectic manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 1997, volume 128, number 609 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 78-80). |
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Nota di contenuto |
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""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"" |
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