On the homotopy classification of elliptic operators on stratified manifolds

Details On the homotopy classification of elliptic operators on stratified manifolds On the homotopy classification of elliptic operators on stratified manifolds

2006-08-14

arxiv.org/abs/math/0608332v1

Izvestiya: Mathematics, 2007, 71:6, 1167-1192

Mathematics

K-Theory and Homology

28 pages; submitted to Izvestiya Ross. Akad. Nauk

Scientific paper

10.1070/IM2007v071n06ABEH002386

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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