English

A symplectic proof of Verlinde factorization

dg-ga 2008-02-03 v1 Differential Geometry

Abstract

We prove a multiplicity formula for Riemann-Roch numbers of reductions of Hamiltonian actions of loop groups. This includes as a special case the factorization formula for the quantum dimension of the moduli space of flat connections over a Riemann surface.

Cite

@article{arxiv.dg-ga/9612018,
  title  = {A symplectic proof of Verlinde factorization},
  author = {Eckhard Meinrenken and Chris Woodward},
  journal= {arXiv preprint arXiv:dg-ga/9612018},
  year   = {2008}
}

Comments

31 pages, AMS-LaTeX

R2 v1 2026-07-22T12:29:57.479Z