Intersection numbers in quasi-Hamiltonian reduced spaces

DOI10.4310/PAMQ.2006.V2.N3.A11zbMATH Open1109.53077arXivmath/0312345OpenAlexW2963567649MaRDI QIDQ851495

Joon Song, Lisa C. Jeffrey

Publication date: 21 November 2006

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/math/0312345

zbMATH Keywords

intersection pairingsresidue formula

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20)

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