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.
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
@article{10_4153_CMB_2004_058_1,
author = {Plamenevskaya, Olga},
title = {A {Residue} {Formula} for $\text{SU(2)}$ {-Valued} {Moment} {Maps}},
journal = {Canadian mathematical bulletin},
pages = {607--614},
year = {2004},
volume = {47},
number = {4},
doi = {10.4153/CMB-2004-058-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-058-1/}
}
TY - JOUR
AU - Plamenevskaya, Olga
TI - A Residue Formula for $\text{SU(2)}$ -Valued Moment Maps
JO - Canadian mathematical bulletin
PY - 2004
SP - 607
EP - 614
VL - 47
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-058-1/
DO - 10.4153/CMB-2004-058-1
ID - 10_4153_CMB_2004_058_1
ER -
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