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Group-valued equivariant localization |
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| Authors: | A Alekseev E Meinrenken C Woodward |
| Institution: | Institute for Theoretical Physics, Uppsala University, Box 803, S-75108 Uppsala, Sweden?(e-mail: alekseev@teorfys.uu.se), SE University of Toronto, Department of Mathematics, 100 St George Street, Toronto, Ontario M5S3G3, Canada (e-mail: mein@math.toronto.edu), CA Mathematics – Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA (e-mail: ctw@math.rutgers.edu), US |
| Abstract: | We prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of Berline-Vergne and Atiyah-Bott for the usual equivariant de Rham cohomology. We derive from this result a Duistermaat-Heckman formula for group valued moment maps. As an application, we prove part of Witten’s conjectures about intersection pairings on moduli spaces of flat connections on 2-manifolds. Oblatum 24-VI-1999 & 29-X-1999?Published online: 21 February 2000 |
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