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

DOI10.1007/s00039-002-8234-zzbMath1008.53065OpenAlexW1691063159MaRDI QIDQ1601052

Anton Yu. Alekseev, Christopher T. Woodward, Eckhard Meinrenken

Publication date: 17 June 2002

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-002-8234-z

zbMATH Keywords

moduli spacesLiouville measureDuistermaat-Heckman measure

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20)

Related Items (13)

The decomposition formula for Verlinde sums ⋮ (Quasi-)Hamiltonian manifolds of cohomogeneity one ⋮ Reduction theory for singular symplectic manifolds and singular forms on moduli spaces ⋮ Twisted moduli spaces and Duistermaat-Heckman measures ⋮ Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups ⋮ Norm-square localization for Hamiltonian \(L G\)-spaces ⋮ Encoding curved tetrahedra in face holonomies: phase space of shapes from group-valued moment maps ⋮ Poisson geometry and the Kashiwara-Vergne conjecture. ⋮ Character varieties ⋮ Stochastic differential equations for Lie group valued moment maps ⋮ Witten's formulas for intersection pairings on moduli spaces of flat \(G\)-bundles ⋮ The volume of the moduli space of flat connections on a nonorientable 2-manifold ⋮ A Note on Representation Variety of Abelian Groups and Reidemeister Torsion

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