arXiv:math/0406020 Abstract

arXiv:math/0406020 [math.DG]Abstract References Reviews Resources

Elliptic Operators and Higher Signatures

Published 2004-06-01Version 1

Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds; - the problem of cut-and-paste invariance of Novikov's higher signatures on closed manifolds; - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.

Comments: 54 pages. Survey-article. Related papers can be retrieved from http://www.mat.uniroma1.it/people/piazza

Categories: math.DG, math.KT, math.OA

Subjects: 58J20, 58J22, 19K56

Keywords: elliptic operators, novikovs higher signatures, homotopy invariance, closed manifolds, cut-and-paste invariance

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