A symplectic proof of Verlinde factorization

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.

31 pages, AMS-LaTeX

References in corpus (4)

• Two Dimensional Gauge Theories Revisited
• The Verlinde Algebra And The Cohomology Of The Grassmannian
• Symplectic structure of the moduli space of flat connections on a Riemann surface
• Conformal blocks, fusion rules and the Verlinde formula

Cited by in corpus (7)

• Fixed-Depth Two-Qubit Circuits and the Monodromy Polytope
• Fusion of Hamiltonian loop group manifolds and cobordism
• Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas
• Universal moduli spaces of surfaces with flat connections and cobordism theory
• Lie Group Valued Moment Maps
• Eigenvalues of products of unitary matrices and quantum Schubert calculus
• Representations with Weighted Frames and Framed Parabolic Bundles