Verlinde Formulas for Nonsimply Connected Groups

  • Eckhard Meinrenken
Part of the Progress in Mathematics book series (PM, volume 326)


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.


Verlinde formulas group-valuedmomentummaps maximal torus in apposition 

Mathematics Subject Classification (2010):

53D30 53D20 57S15 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Eckhard Meinrenken
    • 1
  1. 1.Mathematics DepartmentUniversity of TorontoTorontoCanada

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