The index of projective families of elliptic operators

Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/17764

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DC Field	Value	Language
dc.contributor.author	Varghese, M.	-
dc.contributor.author	Melrose, R.	-
dc.contributor.author	Singer, I.	-
dc.date.issued	2005	-
dc.identifier.citation	Geometry and Topology, 2005; 9(1):341-373	-
dc.identifier.issn	1364-0380	-
dc.identifier.issn	1364-0380	-
dc.identifier.uri	http://hdl.handle.net/2440/17764	-
dc.description	© Copyright 2005 Geometry & Topology	-
dc.description.abstract	An index theory for projective families of elliptic pseudodifferential operators is developed. The topological and the analytic index of such a family both take values in twisted K–theory of the parametrizing space, X. The main result is the equality of these two notions of index when the twisting class is in the torsion subgroup of H3(X;Z). The Chern character of the index class is then computed.	-
dc.description.statementofresponsibility	Varghese Mathai, Richard B Melrose and Isadore M Singer	-
dc.language.iso	en	-
dc.publisher	University of Warwick, Department of Mathematics	-
dc.source.uri	http://msp.warwick.ac.uk/gt/2005/09/p011.xhtml	-
dc.subject	projective vector bundles, twisted K–theory, projective families of elliptic operators, Index theorem, determinant lines, twisted Chern character	-
dc.title	The index of projective families of elliptic operators	-
dc.type	Journal article	-
dc.identifier.doi	10.2140/gt.2005.9.341	-
pubs.publication-status	Published	-
dc.identifier.orcid	Varghese, M. [0000-0002-1100-3595]	-
Appears in Collections:	Aurora harvest 2 Pure Mathematics publications

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