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Moduli Spaces of Vector Bundles over a Real Curve: $\mathbb Z/2$-Betti Numbers

  Published:2014-04-21
 Printed: Oct 2014
  • Thomas Baird,
    Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7
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Abstract

Moduli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi-stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah-Bott's ``Yang-Mills over a Riemann Surface'' to compute $\mathbb Z/2$-Betti numbers of these spaces.
Keywords: cohomology of moduli spaces, holomorphic vector bundles cohomology of moduli spaces, holomorphic vector bundles
MSC Classifications: 32L05, 14P25 show english descriptions Holomorphic bundles and generalizations
Topology of real algebraic varieties
32L05 - Holomorphic bundles and generalizations
14P25 - Topology of real algebraic varieties
 

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