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Verlinde formulas for nonsimply connected groups

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arxiv 1706.04045 v2 pith:XOQOG5Y7 submitted 2017-06-13 math.SG

Eckhard Meinrenken This is my paper · ORCID
classification math.SG
keywords connectedformulasgroupsnonsimplyverlindeappositionboundarycompact
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In 1999, Fuchs and Schweigert proposed formulas of Verlinde type for moduli spaces of surface group representations in compact nonsimply connected Lie groups. In this paper, we will prove a symplectic version of their conjecture for surfaces with at most one boundary component. A key tool in our computations is Kostant's notion of a maximal torus in apposition.

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  1. Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

    math-ph 2025-07 unverdicted novelty 7.0 of 10

    Develops sufficient conditions for Poisson reduction of generalized Hamiltonian torus actions to preserve integrability and applies them to open problems on Lie group doubles and flat-connection moduli spaces.

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