Verlinde formulas for nonsimply connected groups
Symplectic Geometry
2020-01-29 v2
Abstract
In 1999, Fuchs and Schweigert proposed formulas of Verlinde type for moduli spaces of surface group representations in compact nonsimply connected Lie groups. In this paper, we will prove a symplectic version of their conjecture for surfaces with at most one boundary component. A key tool in our computations is Kostant's notion of a maximal torus in apposition.
Cite
@article{arxiv.1706.04045,
title = {Verlinde formulas for nonsimply connected groups},
author = {Eckhard Meinrenken},
journal= {arXiv preprint arXiv:1706.04045},
year = {2020}
}
Comments
30 pages, to appear in Kostant Memorial Volume, Progress in Mathematics (Birkhauser)