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arXiv · 0711.4379

Poincare isomorphism in K-theory on manifolds with edges

V. E. Nazaikinskii·A. Yu. Savin·B. Yu. Sternin
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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.

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V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin. 2007-11-27. Poincare isomorphism in K-theory on manifolds with edges. https://doi.org/10.1007/s10958-010-0082-z

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