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

[摘要] Jeffrey and Kirwan gave expressionsfor 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 forsymplectic volumes of reduced spaces of a quasi-Hamiltonian$SU(2)$-space. The definition of quasi-Hamiltonian$G$-spaces was recently introduced in .

[学科分类] 数学（综合）

[关键词] Hardy operator;Hardy-Steklov operator;compactness;boundedness;star-shaped regions