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A Residue Formula for $\text{SU(2)}$-Valued Moment Maps
Published online by Cambridge University Press: 20 November 2018
Abstract
Jeffrey and Kirwan gave expressions for intersection pairings on the reduced space ${{M}_{0\,}}=\,{{\mu }^{-1}}(0)/G$ of a Hamiltonian $G$-space $M$ in terms of multiple residues. In this paper we prove a residue formula for symplectic volumes of reduced spaces of a quasi-Hamiltonian $\text{SU(2)}$-space. The definition of quasi-Hamiltonian $G$-spaces was introduced by Alekseev, Malkin and Meinrenken.
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- Copyright © Canadian Mathematical Society 2004