02454nam 2200577 450 991082766560332120170822144134.01-4704-0534-2(CKB)3360000000465112(EBL)3114195(SSID)ssj0000888996(PQKBManifestationID)11456898(PQKBTitleCode)TC0000888996(PQKBWorkID)10867001(PQKB)10618967(MiAaPQ)EBC3114195(RPAM)15508651(PPN)195418174(EXLCZ)99336000000046511220150417h20092009 uy 0engur|n|---|||||txtccrIndex theory, eta forms, and Deligne cohomology /Ulrich BunkeProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (134 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 198, Number 928"Volume 198, Number 928 (fifth of 6 numbers)."0-8218-4284-6 Includes bibliographical references and index.""Contents""; ""Chapter 1""; ""1.1. Introduction""; ""1.2. Further remarks""; ""Chapter 2. Index theory for families with corners""; ""2.1. Dirac operators on manifolds with corners""; ""2.2. Geometric families""; ""Chapter 3. Analytic obstruction theory""; ""3.1. The filtration of K-theory and related obstructions""; ""3.2. Localization over the base""; ""3.3. Resolutions""; ""Chapter 4. Deligne cohomology valued index theory""; ""4.1. Deligne cohomology valued index theory""; ""4.2. Examples""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""""M""""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W""; ""Z""Memoirs of the American Mathematical Society ;Volume 198, Number 928.Differential operatorsInvariantsIndex theory (Mathematics)Differential operators.Invariants.Index theory (Mathematics)515/.7242Bunke Ulrich1963-791284MiAaPQMiAaPQMiAaPQBOOK9910827665603321Index theory, eta forms, and Deligne cohomology4116756UNINA