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A symplectic proof of Verlinde factorization

Eckhard Meinrenken·Chris Woodward
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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.

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Eckhard Meinrenken, Chris Woodward. 1996-12-30. A symplectic proof of Verlinde factorization. https://arxiv.org/abs/dg-ga/9612018

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