Geometric & Functional Analysis GAFA

, Volume 12, Issue 1, pp 1–31

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

  • A. Alekseev
  • E. Meinrenken
  • C. Woodward

DOI: 10.1007/s00039-002-8234-z

Cite this article as:
Alekseev, A., Meinrenken, E. & Woodward, C. GAFA, Geom. funct. anal. (2002) 12: 1. doi:10.1007/s00039-002-8234-z

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.

Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • A. Alekseev
    • 1
  • E. Meinrenken
    • 2
  • C. Woodward
    • 3
  1. 1.Section of Mathematics, University of Geneva, 2-4 rue du Lièvre, cp. 240, 1211 Geneva 24, Switzerland, e-mail: alekseev@math.unige.chCH
  2. 2.University of Toronto, Department of Mathematics, 100 St George Street, Toronto, Ontario M5S3G3, Canada, e-mail: mein@math.toronto.eduCA
  3. 3.Mathematics-Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway NJ 08854-8019, USA, e-mail: ctw@math.rutgers.eduUS