Bundle gerbes and moduli spaces

Details Bundle gerbes and moduli spaces Bundle gerbes and moduli spaces

2011-07-19

arxiv.org/abs/1107.3687v2

J.Geom.Phys.62:1-10,2012

Mathematics

Differential Geometry

19 pages. Latex2e, typos corrected, a reference added

Scientific paper

10.1016/j.geomphys.2011.08.005

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.

Affiliated with

Also associated with

No associations

Rating

Bundle gerbes and moduli spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bundle gerbes and moduli spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bundle gerbes and moduli spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514441