caa a22 4500 475738365 CHVBK 20180406123452.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s002220000056 doi (NATIONALLICENCE)springer-10.1007/s002220000056 Group-valued equivariant localization [Elektronische Daten] [A. Alekseev, E. Meinrenken, C. Woodward] 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. Springer-Verlag Berlin Heidelberg, 2000 Alekseev A. Institute for Theoretical Physics, Uppsala University, Box 803, S-75108 Uppsala, Sweden¶(e-mail: alekseev@teorfys.uu.se), SE aut Meinrenken E. University of Toronto, Department of Mathematics, 100 St George Street, Toronto, Ontario M5S3G3, Canada (e-mail: mein@math.toronto.edu), CA aut Woodward C. Mathematics - Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA (e-mail: ctw@math.rutgers.edu), US aut https://doi.org/10.1007/s002220000056 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000056 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alekseev A. Institute for Theoretical Physics, Uppsala University, Box 803, S-75108 Uppsala, Sweden¶(e-mail: alekseev@teorfys.uu.se), SE aut NATIONALLICENCE 700 1- Meinrenken E. University of Toronto, Department of Mathematics, 100 St George Street, Toronto, Ontario M5S3G3, Canada (e-mail: mein@math.toronto.edu), CA aut NATIONALLICENCE 700 1- Woodward C. Mathematics - Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA (e-mail: ctw@math.rutgers.edu), US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer