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

By Indranil Biswas, J. Huisman, J. Hurtubise. 2009

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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 $${\mathbb{Z}/2}$$ 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0978c7dc96eaa77be88634218eb3d2e2c2254813