03036nam 2200589 450 991080618340332120180731045131.01-4704-0194-0(CKB)3360000000464793(EBL)3114486(SSID)ssj0000888958(PQKBManifestationID)11487569(PQKBTitleCode)TC0000888958(PQKBWorkID)10875129(PQKB)11168145(MiAaPQ)EBC3114486(RPAM)4961622(PPN)195414926(EXLCZ)99336000000046479319970312h19971997 uy| 0engur|n|---|||||txtccrGeneralized symplectic geometries and the index of families of elliptic problems /Liviu I. NicolaescuProvidence, Rhode Island :American Mathematical Society,[1997]©19971 online resource (98 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 609"July 1997, volume 128, number 609 (first of 4 numbers)."0-8218-0621-1 Includes bibliographical references (pages 78-80).""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""Memoirs of the American Mathematical Society ;no. 609.Index theoremsGeometry, DifferentialSymplectic manifoldsIndex theorems.Geometry, Differential.Symplectic manifolds.510 s514/.74Nicolaescu Liviu I.67532MiAaPQMiAaPQMiAaPQBOOK9910806183403321Generalized symplectic geometries and the index of families of elliptic problems4058269UNINA