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

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

2009-01-20

arxiv.org/abs/0901.3071v2

Mathematics

Algebraic Geometry

28 pages; revised version; minor corrections

Scientific paper

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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