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010   $a1-282-44167-1
010   $a9786612441677
010   $a981-277-145-X
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035   $a(EBL)477139
035   $a(OCoLC)613678168
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100   $a20071006d2009      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aRelative index theory, determinants and torsion for open manifolds$b[electronic resource] /$fJu?rgen Eichhorn
210   $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2009
215   $a1 online resource (353 p.)
300   $aDescription based upon print version of record.
311   $a981-277-144-1 
320   $aIncludes bibliographical references (p. 331-337) and index.
327   $aContents; 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; Index
330   $aFor 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 outline
606   $aIndex theory (Mathematics)
606   $aManifolds (Mathematics)
615  0$aIndex theory (Mathematics)
615  0$aManifolds (Mathematics)
676   $a516.07
700   $aEichhorn$b Ju?rgen$01566408
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910780923303321
996   $aRelative index theory, determinants and torsion for open manifolds$93836879
997   $aUNINA