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# A Residue Formula for $\SU(2)$-Valued Moment Maps

Published:2004-12-01
Printed: Dec 2004
• Olga Plamenevskaya
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## 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 $\SU(2)$-space. The definition of quasi-Hamiltonian $G$-spaces was recently introduced in .
 MSC Classifications: 58F05 - unknown classification 58F05