A symplectic proof of Verlinde factorization

Details A symplectic proof of Verlinde factorization A symplectic proof of Verlinde factorization

1996-12-30

arxiv.org/abs/dg-ga/9612018v1

Mathematics

Differential Geometry

31 pages, AMS-LaTeX

Scientific paper

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.

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