Atiyah–Bott index on stratified manifolds |
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Authors: | V E Nazaikinskii A Yu Savin B Yu Sternin |
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Institution: | 1.Institute for Problems in Mechanics,Russian Academy of Science,Moscow,Russia;2.Independent University of Moscow,Moscow,Russia |
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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. |
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