Adelaide Research & Scholarship
Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17764
| Citations | ||
| Scopus | Web of Science® | Altmetric |
|---|---|---|
|
?
|
?
|
|
| Type: | Journal article |
| Title: | The index of projective families of elliptic operators |
| Author: | Varghese, M. Melrose, R. Singer, I. |
| Citation: | Geometry and Topology, 2005; 9(1):341-373 |
| Publisher: | University of Warwick, Department of Mathematics |
| Issue Date: | 2005 |
| ISSN: | 1364-0380 1364-0380 |
| Statement of Responsibility: | Varghese Mathai, Richard B Melrose and Isadore M Singer |
| 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. |
| Keywords: | projective vector bundles, twisted K–theory, projective families of elliptic operators, Index theorem, determinant lines, twisted Chern character |
| Description: | © Copyright 2005 Geometry & Topology |
| DOI: | 10.2140/gt.2005.9.341 |
| Published version: | http://msp.warwick.ac.uk/gt/2005/09/p011.xhtml |
| Appears in Collections: | Aurora harvest 2 Pure Mathematics publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.