Vol. 198, No. 2, 2001

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Canonical bundles for Hamiltonian loop group manifolds

E. Meinrenken and C. Woodward

Vol. 198 (2001), No. 2, 477–487
Abstract

We construct canonical bundles for Hamiltonian loop group actions with proper moment maps. As an application, we show that for certain moduli spaces of flat connections on Riemann surfaces with boundary, the first Chern class is a multiple of the cohomology class of the symplectic form.

Milestones
Received: 1 August 1999
Revised: 26 April 2000
Published: 1 April 2001
Authors
E. Meinrenken
University of Toronto
Department of Mathematics
100 St George Street, Toronto, Ontario M5S 3G3
Canada
C. Woodward
Mathematics-Hill Center
Rutgers University
110 Frelinghuysen Road, Piscataway NJ 08854-8019