, Volume 12, Issue 1, pp 1-31

Duistermaat—Heckman measures and moduli spaces of flat bundles over surfaces

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Abstract.

We introduce Liouville measures and Duistermaat—Heckman measures for Hamiltonian group actions with group valued moment maps. The theory is illustrated by applications to moduli spaces of flat bundles on surfaces.

Submitted: October 2000, Revised: May 2001, Final version: September 2001.