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- W3038606610 abstract "Following Boalch-Yamakawa and Meinrenken, we consider a certain class of moduli spaces on bordered surfaces from a quasi-Hamiltonian perspective. For a given Lie group $G$, these character varieties parametrize flat $G$-connections on twisted local systems, in the sense that the transition functions take values in $Grtimesmathrm{Aut}(G)$. After reviewing the necessary tools to discuss twisted quasi-Hamiltonian manifolds, we construct a Duistermaat-Heckman (DH) measure on $G$ that is invariant under the twisted conjugation action $gmapsto hgkappa(h^{-1})$ for $kappainmathrm{Aut}(G)$, and characterize it by giving a localization formula for its Fourier coefficients. We then illustrate our results by determining the DH measures of our twisted moduli spaces." @default.
- W3038606610 created "2020-07-10" @default.
- W3038606610 creator A5063264958 @default.
- W3038606610 date "2021-03-01" @default.
- W3038606610 modified "2023-09-24" @default.
- W3038606610 title "Twisted moduli spaces and Duistermaat–Heckman measures" @default.
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- W3038606610 doi "https://doi.org/10.1016/j.geomphys.2020.104042" @default.
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