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Journal of Mathematical Sciences

, Volume 170, Issue 2, pp 238–250 | Cite as

On the Poincaré isomorphism in K-theory on manifolds with edges

  • V. E. Nazaikinskii
  • A. Yu. Savin
  • B. Yu. Sternin
Article

Abstract

In this paper, the Poincaré isomorphism in K-theory on manifolds with edges is constructed. It is shown that the Poincaré isomorphism can be naturally constructed in terms of noncommutative geometry. More precisely, we obtain a correspondence between a manifold with edges and a noncommutative algebra and establish an isomorphism between the K-group of this algebra and the K-homology group of the manifold with edges, which is considered as a compact topological space.

Keywords

Manifold Vector Bundle Dirac Operator Elliptic Operator Toeplitz Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • V. E. Nazaikinskii
    • 1
  • A. Yu. Savin
    • 2
  • B. Yu. Sternin
    • 2
  1. 1.Institute for Problems in MechanicsRussian Academy of ScienceMoscowRussia
  2. 2.Independent University of MoscowMoscowRussia

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