Elliptic Theory on Manifolds with Corners: II. Homotopy Classification and K-Homology
We establish the stable homotopy classification of elliptic pseudo-differential 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.
KeywordsManifold with corners elliptic operator stable homotopy K-homology stratified manifold
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