Guruprasad, K and Rajan, CS (1998) Group cohomology and the symplectic structure on the moduli space of representations. In: Duke Mathemetical Journal, 91 (01). pp. 137-149.
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The space of equivalence classes of irreducibleb representations of the fundamental group of a compact oriented surface of genus at least 2 in a Lie group has a natural symplectic form. In lAB], Atiyah and Bott described this symplectic structure using methods from gauge theory. Goldman [G] constructed the skew-symmetric pairing algebraically using methods from group cohomology. Using Poincar6 duality, Goldman showed that the pairing is nondegenerate and identified it with the symplectic structure given by gauge theory.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Duke University Press.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||23 Jul 2009 07:03|
|Last Modified:||19 Sep 2010 05:24|
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