Relative Index Theory, Determinants And Torsion For Open Manifolds
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A01=Jurgen Eichhorn
Author_Jurgen Eichhorn
Category=PBKJ
Category=PBM
Category=PBMS
Category=PH
Determinants of Differential Operators
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Eta-Functions
Generalized Dirac Operators
Relative Analytic Torsion
Relative Index Theorems
Zeta-Functions
Product details
- ISBN 9789812771445
- Publication Date: 01 Jun 2009
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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For 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 of the necessary tools from nonlinear Sobolev analysis.
