Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 072, 18 pages      arXiv:1508.02318

Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve

Thomas John Baird
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7, Canada

Received October 30, 2015, in final form July 20, 2016; Published online July 22, 2016

We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples.

Key words: moduli space of vector bundles; gauge groups; real curves.

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