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Bundle gerbes and moduli spaces

Bouwknegt, Pier (Peter); Mathai, Varghese; Wu, Siye

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/20868
Source: Journal of Geometry and Physics
DOI: 10.1016/j.geomphys.2011.08.005

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