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Download or read book Relative Index Theory, Determinants and Torsion for Open Manifolds written by Jrgen Eichhorn and published by World Scientific. This book was released on 2009 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.