Lattice gauge theories and the Florentino conjecture

Abstract

We study the relation between the space of representation classes of the fundamental group of a Riemann surface and gauge theory on trivalent graphs. We construct a partial gauge fixing in the latter gauge theory. As an application we get a proof of a conjecture of Florentino.

latex2e, 26 pages, requires epsf for one figure

References in corpus (5)

• Chern-Simons Theory with Finite Gauge Group
• Curvature and characteristic numbers of hyperkähler manifolds
• Special Langrangian geometry and slightly deformed algebraic geometry (spLag and sdAG)
• Quantization and ``theta functions''
• Three mathematical faces of SU(2) - spin networks