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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115421We 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.17 pages, 1 figure. Submitted to the proceedings of the Conference "C*-algebras and elliptic theory. II" (Banach Center, Bedlewo, Poland, January 23--28, 2006)K-Theory and HomologyAnalysis of PDEsOperator Algebras46L80 (Primary) 19K33, 58J40 (Secondary)Elliptic Theory on Manifolds with Corners: II. Homotopy classification and $K$-Homologytext