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arXiv · 1207.4960

Moduli spaces of vector bundles over a real curve: Z/2-Betti numbers

Thomas Baird
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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 Z/2-Betti numbers of these spaces, proving formulas recently obtained by Liu and Schaffhauser.

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Thomas Baird. 2013-11-05. Moduli spaces of vector bundles over a real curve: Z/2-Betti numbers. https://doi.org/10.4153/cjm-2013-049-1

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