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

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dc.creatorNazaikinskii, V. E.
dc.creatorSavin, A. Yu.
dc.creatorSternin, B. Yu.
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:21:46Z
dc.date.available2026-07-07T07:21:46Z
dc.descriptionWe 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.
dc.description17 pages, 1 figure. Submitted to the proceedings of the Conference "C*-algebras and elliptic theory. II" (Banach Center, Bedlewo, Poland, January 23--28, 2006)
dc.identifierhttps://arxiv.org/abs/math/0608354
dc.identifierhttp://arxiv.org/abs/math/0608354
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115421
dc.subjectK-Theory and Homology
dc.subjectAnalysis of PDEs
dc.subjectOperator Algebras
dc.subject46L80 (Primary) 19K33, 58J40 (Secondary)
dc.titleElliptic Theory on Manifolds with Corners: II. Homotopy classification and $K$-Homology
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