On elliptic differential operators with shifts: II. The cohomological index formula

Simple item page
dc.creatorNazaikinskii, V. E.
dc.creatorSavin, A. Yu.
dc.creatorSternin, B. Yu.
dc.date2007-07-26
dc.date.accessioned2026-07-07T08:20:27Z
dc.date.available2026-07-07T08:20:27Z
dc.descriptionThis paper is a continuation of arXiv:0706.3511, where we obtained a local index formula for matrix elliptic operators with shifts. Here we establish a cohomological index formula of Atiyah-Singer type for elliptic differential operators with shifts acting between section spaces of arbitrary vector bundles. The key step is the construction of closed graded traces on certain differential algebras over the symbol algebra for this class of operators.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0707.3892
dc.identifierhttp://arxiv.org/abs/0707.3892
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135076
dc.subjectOperator Algebras
dc.subjectAnalysis of PDEs
dc.subjectK-Theory and Homology
dc.subject46L80 (Primary); 19K56, 58J40 (Secondary)
dc.titleOn elliptic differential operators with shifts: II. The cohomological index formula
dc.typetext

Files

Collections

arXiv