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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9402

Title: Symplectic forms on moduli spaces of flat connections on 2-manifolds
Authors: Jeffrey, Lisa Claire
Issue Date: 1997
Publisher: American Mathematical Society
Series/Report no.: 2
Abstract: Let G be a compact connected semisimple Lie group. We extend the techniques of Weinstein [W] to give a construction in group cohomology of symplectic forms ω on 'twisted' moduli spaces of representations of the fundamental group π of a 2-manifold - (the smooth analogues of Hom(π1(-),G)/G) and on relative character varieties of fundamental groups of 2-manifolds. We extend this construction to exhibit a symplectic form on the extended moduli space [J1] (a Hamiltonian G-space from which these moduli spaces may be obtained by symplectic reduction), and compute the moment map for the action of G on the extended moduli space.
Description: Originally produced April http://1994arXiv:alg-geom/9404013v1 revised April 1996.
URI: http://hdl.handle.net/1807/9402
Appears in Collections:Mathematics

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