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Elliptic Theory on Manifolds with Corners: II. Homotopy classification and $K$-Homology

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

We establish the stable homotopy classification of elliptic pseudodifferential operators on manifolds with corners and show that the set of elliptic operators modulo stable homotopy is isomorphic to the K-homology group of some stratified manifold. By way of application, generalizations of some recent results due to Monthubert and Nistor are given.

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V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin. 2006-08-14. Elliptic Theory on Manifolds with Corners: II. Homotopy classification and $K$-Homology. https://arxiv.org/abs/math/0608354

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