02843nam 2200589 450 991078873900332120170822144458.01-4704-0264-5(CKB)3360000000464857(EBL)3114584(SSID)ssj0000888882(PQKBManifestationID)11932380(PQKBTitleCode)TC0000888882(PQKBWorkID)10866478(PQKB)10520779(MiAaPQ)EBC3114584(RPAM)3103450(PPN)195415574(EXLCZ)99336000000046485719990427h19991999 uy| 0engur|n|---|||||txtccrDiffeomorphisms and noncommutative analytic torsion /John LottProvidence, Rhode Island :American Mathematical Society,[1999]©19991 online resource (71 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 673"September 1999, volume 141, number 673 (third of 4 numbers)."0-8218-1189-4 Includes bibliographical references (pages 55-56).""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Chernâ€?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. Bâ€?Hermitian Metrics and Characteristic Classes""; ""4.1. Bâ€?Hermitian Metrics""; ""4.2. Bâ€?Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections""""5.1. Partially Flat Superconnections""""5.2. A Finiteâ€?Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. Bâ€?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""Memoirs of the American Mathematical Society ;no. 673.DiffeomorphismsIndex theoremsNoncommutative differential geometryDiffeomorphisms.Index theorems.Noncommutative differential geometry.510 s514/.42Lott John1959-1567023MiAaPQMiAaPQMiAaPQBOOK9910788739003321Diffeomorphisms and noncommutative analytic torsion3838092UNINA