Trace functionals on non-commutative deformations of moduli spaces of flat connections
Quantum Algebra
2007-05-23 v1
Abstract
We describe an efficient construction of a canonical non-commutative deformation of the algebraic functions on the moduli spaces of flat connections on a Riemann surface. We show that this algebra, which is a variant of the quantum moduli algebra introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche, has a trace functional which is related to the canonical trace in the formal index theory of Fedosov and Nest-Tsygan via the Verlinde formula.
Keywords
Cite
@article{arxiv.math/0008149,
title = {Trace functionals on non-commutative deformations of moduli spaces of flat connections},
author = {Philippe Roche and Andras Szenes},
journal= {arXiv preprint arXiv:math/0008149},
year = {2007}
}