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The moduli space of stable vector bundles over a real algebraic curve |
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| Authors: | Indranil Biswas Johannes Huisman Jacques Hurtubise |
| Institution: | 1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India 2. Département de Mathématiques, Laboratoire CNRS UMR 6205, Université de Bretagne Occidentale, 6 avenue Victor Le Gorgeu, CS 93837, 29238, Brest cedex 3, France 3. Department of Mathematics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal, QC, H3A 2K6, Canada |
| Abstract: | We study the spaces of stable real and quaternionic vector bundles on a real algebraic curve. The basic relationship is established with unitary representations of an extension of \mathbbZ/2{\mathbb{Z}/2} by the fundamental group. By comparison with the space of real or quaternionic connections, some of the basic topological invariants of these spaces are calculated. |
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