LEADER 03036nam 2200589 450 001 9910806183403321 005 20180731045131.0 010 $a1-4704-0194-0 035 $a(CKB)3360000000464793 035 $a(EBL)3114486 035 $a(SSID)ssj0000888958 035 $a(PQKBManifestationID)11487569 035 $a(PQKBTitleCode)TC0000888958 035 $a(PQKBWorkID)10875129 035 $a(PQKB)11168145 035 $a(MiAaPQ)EBC3114486 035 $a(RPAM)4961622 035 $a(PPN)195414926 035 $a(EXLCZ)993360000000464793 100 $a19970312h19971997 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeneralized symplectic geometries and the index of families of elliptic problems /$fLiviu I. Nicolaescu 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1997] 210 4$dİ1997 215 $a1 online resource (98 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 609 300 $a"July 1997, volume 128, number 609 (first of 4 numbers)." 311 $a0-8218-0621-1 320 $aIncludes bibliographical references (pages 78-80). 327 $a""Contents""; ""1 Algebraic preliminaries""; ""A?1.1 Clifford algebras""; ""A?1.2 Clifford modules""; ""2 Topological preliminaries""; ""A?2.1 Karoubi's K[Sup(p,q)]-theory""; ""A?2.2 Some elementary examples""; ""A?2.3 Classifying spaces""; ""3 (p,q)-lagrangians and classifying spaces for K-theory""; ""A?3.1 (p,q)-lagrangian subspaces""; ""A?3.2 Graphs of linear operators and lagrangians""; ""A?3.3 The components of FL[Sup(p,q)]""; ""A?3.4 The homotopy type of FL[Sup(p,q)]""; ""4 Symplectic reductions""; ""A?4.1 Generalized symplectic geometries"" 327 $a""A?4.2 Homotopic properties of the symplectic reduction process""""A?4.3 The generalized Maslov index""; ""A?4.4 Comparison with the traditional Maslov index""; ""5 Clifford symmetric Fredholm operators""; ""A?5.1 The space F[Sup(p,q)]""; ""A?5.2 Hamiltonian (p,q)-modules""; ""A?5.3 The graph map and generalized Floer operators""; ""A?5.4 Examples""; ""6 Families of boundary value problems for Dirac operators""; ""A?6.1 (p,q)-Dirac operators and their Calderon projections""; ""A?6.2 The index of families of boundary value problems""; ""A?6.3 The cobordism in variance of the families index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 609. 606 $aIndex theorems 606 $aGeometry, Differential 606 $aSymplectic manifolds 615 0$aIndex theorems. 615 0$aGeometry, Differential. 615 0$aSymplectic manifolds. 676 $a510 s 676 $a514/.74 700 $aNicolaescu$b Liviu I.$067532 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910806183403321 996 $aGeneralized symplectic geometries and the index of families of elliptic problems$94058269 997 $aUNINA