Poincare isomorphism in K-theory on manifolds with edges

Details Poincare isomorphism in K-theory on manifolds with edges Poincare isomorphism in K-theory on manifolds with edges

2007-11-27

arxiv.org/abs/0711.4379v1

Journal of Mathematical Sciences, 2010, 170:2, 238-250

Mathematics

K-Theory and Homology

15 pages, no figures

Scientific paper

10.1007/s10958-010-0082-z

The aim of this paper is to construct the Poincare isomorphism in K-theory on manifolds with edges. We show that the Poincare isomorphism can naturally be constructed in the framework of noncommutative geometry. More precisely, to a manifold with edges we assign a noncommutative algebra and construct an isomorphism between the K-group of this algebra and the K-homology group of the manifold with edges viewed as a compact topological space.

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