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A Residue Formula for $\text{SU(2)}$-Valued Moment Maps

Published online by Cambridge University Press:  20 November 2018

Olga Plamenevskaya
Olga Plamenevskaya*
Affiliation:
Harvard University Department of Mathematics MIT Cambridge, MA 02139 U.S.A., e-mail: olga@math.harvard.edu
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Abstract

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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.

Keywords

58F05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 607 - 614
Copyright
Copyright © Canadian Mathematical Society 2004

References

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