02507nam 2200577 450 991048054170332120180731045342.01-4704-0074-X(CKB)3360000000464681(EBL)3114027(SSID)ssj0000888830(PQKBManifestationID)11465742(PQKBTitleCode)TC0000888830(PQKBWorkID)10875469(PQKB)11528169(MiAaPQ)EBC3114027(PPN)195413806(EXLCZ)99336000000046468120140911h19931993 uy 0engur|n|---|||||txtccrCoarse cohomology and index theory on complete Riemannian manifolds /John RoeProvidence, Rhode Island :American Mathematical Society,1993.©19931 online resource (106 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 497"July 1993, Volume 104, Number 497 (fourth of 6 numbers)."0-8218-2559-3 Includes bibliographical references.""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic properties of coarse cohomology""; ""2.1. The uniformly bornologous categories""; ""2.2. Definition of coarse theory""; ""2.3. Examples""; ""2.4. Product structure on coarse theory""; ""Chapter 3. Computation of coarse cohomology""; ""3.1. Review of Cech theory""; ""3.2. The main theorem""; ""3.3. Alternative definitions of coarse theory""; ""3.4. When is c an isomorphism?""; ""3.5. Bornotopy""; ""3.6. Examples""; ""Chapter 4. Cyclic cohomology and index theory""; ""4.1. Operator algebras""; ""4.2. The Connes character map""""6.5. Applications to the signature operator""""6.6. Relation with the Novikov conjecture""; ""References""Memoirs of the American Mathematical Society ;Number 497.Riemannian manifoldsHomology theoryIndex theory (Mathematics)Electronic books.Riemannian manifolds.Homology theory.Index theory (Mathematics)516.3/73Roe John1959-898970MiAaPQMiAaPQMiAaPQBOOK9910480541703321Coarse cohomology and index theory on complete Riemannian manifolds2008401UNINA