Poincare isomorphism in K-theory on manifolds with edges
arXiv:0711.4379 · doi:10.1007/s10958-010-0082-z
Abstract
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.
arXiv comment15 pages, no figures