LEADER 02843nam 2200589 450 001 9910788739003321 005 20170822144458.0 010 $a1-4704-0264-5 035 $a(CKB)3360000000464857 035 $a(EBL)3114584 035 $a(SSID)ssj0000888882 035 $a(PQKBManifestationID)11932380 035 $a(PQKBTitleCode)TC0000888882 035 $a(PQKBWorkID)10866478 035 $a(PQKB)10520779 035 $a(MiAaPQ)EBC3114584 035 $a(RPAM)3103450 035 $a(PPN)195415574 035 $a(EXLCZ)993360000000464857 100 $a19990427h19991999 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiffeomorphisms and noncommutative analytic torsion /$fJohn Lott 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1999] 210 4$dİ1999 215 $a1 online resource (71 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 673 300 $a"September 1999, volume 141, number 673 (third of 4 numbers)." 311 $a0-8218-1189-4 320 $aIncludes bibliographical references (pages 55-56). 327 $a""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Cherna???Simons Classes of Partially Flat Connections""; ""3. Groups and Covering Spaces""; ""3.1. Cyclic Cohomology of Group Algebras""; ""3.2. Noncommutative Geometry of Covering Spaces""; ""4. Ba???Hermitian Metrics and Characteristic Classes""; ""4.1. Ba???Hermitian Metrics""; ""4.2. Ba???Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections"" 327 $a""5.1. Partially Flat Superconnections""""5.2. A Finitea???Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. Ba???Pseudodifferential Calculus""; ""6.2. Induced Superconnections""; ""6.3. Small Time Limits""; ""6.4. Index Theorems""; ""6.5. The Analytic Torsion Form II""; ""7. Diffeomorphism Groups""; ""7.1. Free Abelian Fundamental Groups""; ""7.2. General Fundamental Groups""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 673. 606 $aDiffeomorphisms 606 $aIndex theorems 606 $aNoncommutative differential geometry 615 0$aDiffeomorphisms. 615 0$aIndex theorems. 615 0$aNoncommutative differential geometry. 676 $a510 s 676 $a514/.42 700 $aLott$b John$f1959-$01567023 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788739003321 996 $aDiffeomorphisms and noncommutative analytic torsion$93838092 997 $aUNINA