02740nam 2200577Ia 450 991078092330332120230721005458.01-282-44167-19786612441677981-277-145-X(CKB)2550000000001664(EBL)477139(OCoLC)613678168(SSID)ssj0000426942(PQKBManifestationID)11290106(PQKBTitleCode)TC0000426942(PQKBWorkID)10390185(PQKB)10924827(MiAaPQ)EBC477139(WSP)00000426 (Au-PeEL)EBL477139(CaPaEBR)ebr10361857(CaONFJC)MIL244167(EXLCZ)99255000000000166420071006d2009 uy 0engur|n|---|||||txtccrRelative index theory, determinants and torsion for open manifolds[electronic resource] /Jürgen EichhornSingapore ;Hackensack, NJ World Scientificc20091 online resource (353 p.)Description based upon print version of record.981-277-144-1 Includes bibliographical references (p. 331-337) and index.Contents; Introduction; I Absolute invariants for open manifoldsand bundles; II Non-linear Sobolev structures; III The heat kernel of generalized Diracoperators; IV Trace class properties; V Relative index theory; VI Relative (-functions, 1]-functions, determinants and torsion; VII Scattering theory for manifolds with injectivity radius zero; References; List of notations; IndexFor closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators an applicable theory of number-valued relative invariants. This is of great use in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular, it contains an outlineIndex theory (Mathematics)Manifolds (Mathematics)Index theory (Mathematics)Manifolds (Mathematics)516.07Eichhorn Jürgen1566408MiAaPQMiAaPQMiAaPQBOOK9910780923303321Relative index theory, determinants and torsion for open manifolds3836879UNINA