On Carvalho's $K$-theoretic formulation of the cobordism invariance of the index

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dc.creatorMoroianu, Sergiu
dc.date2006-12-08
dc.date.accessioned2026-07-07T07:34:46Z
dc.date.available2026-07-07T07:34:46Z
dc.descriptionWe give an analytic proof of the fact that the index of an elliptic operator on the boundary of a compact manifold vanishes when the principal symbol comes from the restriction of a $K$-theory class from the interior. The proof uses noncommutative residues inside the calculus of cusp pseudodifferential operators of Melrose.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0612217
dc.identifierhttp://arxiv.org/abs/math/0612217
dc.identifierProc. Amer. Mat. Soc. 134 (2006), 3395-3404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119882
dc.subjectAnalysis of PDEs
dc.subjectK-Theory and Homology
dc.subject58J20,58J42
dc.titleOn Carvalho's $K$-theoretic formulation of the cobordism invariance of the index
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