| Affiliation: | (1) Department of Mathematics, McGill University, Montréal, Quebec, H3A 2K6, Canada;(2) Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, H3P 3J7, Canada;(3) Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 3G3, Canada;(4) Department of Mathematics, Cornell University, Ithaca, New York, 14853-7901, U.S.A. |
| Abstract: | This paper gives a construction of the moduli space of framed parabolic sheaves on a Riemann surface. This space serves as a universal, master, space for the well known moduli space of parabolic bundles, as well as moduli spaces of vector bundles, which can all be obtained from this space by torus quotients. The construction is given for the structure group SL(N, C), and indeed is adapted to this case. At the end of the paper, an approach is suggested for dealing with the case of arbitrary reductive groups, involving the associated loop group. |
