Duistermaat-Heckman distributions for group valued moment maps

Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris

Scientific article

English

Duistermaat-Heckman distributions for group valued moment maps

ContributorsAlekseev, Anton; Meinrenken, Eckhard; Woodward, Chris

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

Publication date2002

Abstract

We introduce equivariant Liouville forms and Duistermaat-Heckman distributions for Hamiltonian group actions with group valued moment maps. The theory is illustrated by applications to moduli spaces of flat connections on 2-manifolds.

Classification

arxiv : math.DG

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ALEKSEEV, Anton, MEINRENKEN, Eckhard, WOODWARD, Chris. Duistermaat-Heckman distributions for group valued moment maps. In: Geometric and functional analysis, 2002, vol. 12, n° 1, p. 1–31.

Article

Identifiers

PID : unige:12363
arXiv : math/9903087

Journal ISSN1016-443X

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Creation28/10/2010 13:56:00

First validation28/10/2010 13:56:00

Update14/03/2023 16:08:30

Status update14/03/2023 16:08:30

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Duistermaat-Heckman distributions for group valued moment maps

We introduce equivariant Liouville forms and Duistermaat-Heckman distributions for Hamiltonian group actions with group valued moment maps. The theory is illustrated by applications to moduli spaces of flat connections on 2-manifolds.

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