Geodesic
A Residue Formula for $\text{SU(2)}$ -Valued Moment Maps
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 607-614

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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.
DOI : 10.4153/CMB-2004-058-1
Mots-clés : 58F05 
Plamenevskaya, Olga. A Residue Formula for $\text{SU(2)}$ -Valued Moment Maps. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 607-614. doi: 10.4153/CMB-2004-058-1
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     title = {A {Residue} {Formula} for $\text{SU(2)}$ {-Valued} {Moment} {Maps}},
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     year = {2004},
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     doi = {10.4153/CMB-2004-058-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-058-1/}
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