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arXiv · 0901.3071

The moduli space of stable vector bundles over a real algebraic curve

Indranil Biswas·Johannes Huisman·Jacques C. Hurtubise
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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 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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Indranil Biswas, Johannes Huisman, Jacques C. Hurtubise. 2009-04-03. The moduli space of stable vector bundles over a real algebraic curve. https://arxiv.org/abs/0901.3071

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