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Intersection numbers in quasi-Hamiltonian reduced spaces

Lisa Jeffrey·Joon-Hyeok Song
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Abstract

In this paper we prove a residue formula for intersection pairings of reduced spaces of certain quasi-Hamiltonian G-spaces, by constructing the corresponding Hamiltonian G-space. Our argument closely follows the methods of a 1998 paper of the first author and F. Kirwan on intersection numbers in moduli spaces (for G=SU(n)). For the more general class of compact Lie groups treated by Alekseev, Meinrenken and Woodward, we rely on results of Szenes and Brion-Vergne concerning diagonal bases. Our result is a close analogue of the result of Alekseev-Meinrenken-Woodward.

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Lisa Jeffrey, Joon-Hyeok Song. 2006-07-13. Intersection numbers in quasi-Hamiltonian reduced spaces. https://arxiv.org/abs/math/0312345

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