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

Alekseev, Anton; Meinrenken, Eckhard; Woodward, C.

doi:10.1007/s00039-002-8234-z

Scientific article

English

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

ContributorsAlekseev, Anton; Meinrenken, Eckhard; Woodward, C.

Published inGeometric and functional analysis, vol. 12, no. 1, p. 1-31

Publication date2002

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.

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ALEKSEEV, Anton, MEINRENKEN, Eckhard, WOODWARD, C. Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. In: Geometric and functional analysis, 2002, vol. 12, n° 1, p. 1–31. doi: 10.1007/s00039-002-8234-z

Article (Published version)

Identifiers

PID : unige:12361
DOI : 10.1007/s00039-002-8234-z

ISSN of the journal1016-443X

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

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.

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