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FLAT CONNECTIONS ON ORIENTED 2-MANIFOLDS

Published online by Cambridge University Press:  08 February 2005

LISA C. JEFFREY
LISA C. JEFFREY
Affiliation:
Department of Mathematics, University of Toronto, Toronto M5S 3G3, Canadajeffrey@math.toronto.edu
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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)).

Keywords

53D30 (primary)14D20 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 1 , January 2005 , pp. 1 - 14
Copyright
© The London Mathematical Society 2005

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