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On the homotopy classification of elliptic operators on stratified manifolds

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

We find the stable homotopy classification of elliptic operators on stratified manifolds. Namely, we establish an isomorphism of the set of elliptic operators modulo stable homotopy and the $K$-homology group of the singular manifold. As a corollary, we obtain an explicit formula for the obstruction of Atiyah--Bott type to making interior elliptic operators Fredholm.

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V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin. 2006-08-14. On the homotopy classification of elliptic operators on stratified manifolds. https://doi.org/10.1070/im2007v071n06abeh002386

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