A symplectic proof of Verlinde factorization
classification
dg-ga
math.DG
keywords
factorizationformulaactionscaseconnectionsdimensionflatgroups
read the original 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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