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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9556

Title: Flat Connections On Oriented 2-Manifolds
Authors: Jeffrey, L.
Issue Date: 2005
Publisher: Cambridge University Press
Citation: Jeffrey, L. C. (2005). Flat connections on oriented 2-manifolds. Bulletin of the London Mathematical Society, 37(1), 1-14.
Abstract: This paper aims to provide a survey on the subject of representations of fundamental groups of 2-manifolds, or in other guises flat connections on orientable 2-manifolds or moduli spaces parametrizing holomorphic vector bundles on Riemann surfaces. It emphasizes the relationships between the different descriptions of these spaces. The final two sections of the paper outline results of the author and Kirwan on the cohomology rings of certain of the spaces described earlier (formulas for intersection numbers that were discovered by Witten (Commun. Math. Phys. 141 (1991) 153–209 and J. Geom. Phys. 9 (1992) 303–368) and given a mathematical proof by the author and Kirwan (Ann. of Math. 148 (1998) 109–196)).
Description: © 2005 Cambridge University Press
URI: http://hdl.handle.net/1807/9556
ISSN: 1469-2120
Appears in Collections:Mathematics

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