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ISBN: 1282441671 9786612441677 981277145X 9789812771452 9781282441675 9812771441 9789812771445 Year: 2009 Publisher: Singapore Hackensack, N.J. World Scientific Pub. Co.
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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
Book
ISBN: 9780821842843 Year: 2009 Publisher: Providence, R.I. American Mathematical Society
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Algebra --- Differential operators. --- Invariants. --- Index theory (Mathematics) --- Obstruction theory. --- Opérateurs différentiels --- Analyse multidimensionnelle --- Index, Théorie de l' (Mathématiques) --- Théorie des obstructions --- 51 <082.1> --- Mathematics--Series --- Opérateurs différentiels --- Index, Théorie de l' (Mathématiques) --- Théorie des obstructions --- Opérateurs différentiels. --- Index, Théorie de l' (mathématiques) --- Obstructions, Théorie des. --- Differential operators --- Invariants --- Obstruction theory --- Algebraic topology --- Mathematics --- Operators, Differential --- Differential equations --- Operator theory
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