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

A. Alekseev, E. Meinrenken, Christopher Woodward

Research output: Contribution to journalArticle

26 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)1-31
Number of pages31
JournalGeometric and Functional Analysis
Volume12
Issue number1
DOIs
StatePublished - Dec 3 2002

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Measure space
Moduli Space
Bundle
Hamiltonian Actions
Moment Map
Group Action

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

Cite this

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Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. / Alekseev, A.; Meinrenken, E.; Woodward, Christopher.

In: Geometric and Functional Analysis, Vol. 12, No. 1, 03.12.2002, p. 1-31.

Research output: Contribution to journalArticle

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