Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/69622
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Bundle gerbes and moduli spaces |
Author: | Bouwknegt, P. Varghese, M. Wu, S. |
Citation: | Journal of Geometry and Physics, 2012; 62(1):1-10 |
Publisher: | Elsevier Science BV |
Issue Date: | 2012 |
ISSN: | 0393-0440 1879-1662 |
Statement of Responsibility: | Peter Bouwknegt, Varghese Mathai and Siye Wu |
Abstract: | In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerbe called the caloron bundle gerbe, which comes with a natural connection and curving, and show that it is isomorphic to the analytically constructed index bundle gerbe. We apply these constructions to certain moduli spaces associated to compact Riemann surfaces, constructing on these moduli spaces, natural bundle gerbes with connection and curving, whose 3-curvature represent Dixmier-Douady classes that are generators of the third de Rham cohomology groups of these moduli spaces. © 2011 Elsevier B.V. |
Keywords: | Index bundle grebe Caloron bundle grebe Moduli spaces |
Rights: | © 2011 Elsevier B.V. All rights reserved. |
DOI: | 10.1016/j.geomphys.2011.08.005 |
Grant ID: | http://purl.org/au-research/grants/arc/DP0878184 http://purl.org/au-research/grants/arc/DP0770927 http://purl.org/au-research/grants/arc/DP0878184 http://purl.org/au-research/grants/arc/DP0770927 |
Description (link): | http://www.journals.elsevier.com/journal-of-geometry-and-physics/ |
Published version: | http://dx.doi.org/10.1016/j.geomphys.2011.08.005 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences 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.