Bundle gerbes and moduli spaces

  title={Bundle gerbes and moduli spaces},
  author={Peter Bouwknegt and Varghese Mathai and Siye Wu},
  journal={Journal of Geometry and Physics},
  • Peter Bouwknegt, Varghese Mathai, Siye Wu
  • Published 2012
  • Mathematics, Physics
  • Journal of Geometry and Physics
  • 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… CONTINUE READING