66 research outputs found

    Verlinde formulas for nonsimply connected groups

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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.Comment: 30 pages, to appear in Kostant Memorial Volume, Progress in Mathematics (Birkhauser
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