Moduli Spaces of Vector Bundles over a Real Curve: Z/2-Betti Numbers
Canadian journal of mathematics, Tome 66 (2014) no. 5, pp. 961-992

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DOI

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.
DOI : 10.4153/CJM-2013-049-1
Mots-clés : 32L05, 14P25, cohomology of moduli spaces, holomorphic vector bundles
Baird, Thomas. Moduli Spaces of Vector Bundles over a Real Curve: Z/2-Betti Numbers. Canadian journal of mathematics, Tome 66 (2014) no. 5, pp. 961-992. doi: 10.4153/CJM-2013-049-1
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     journal = {Canadian journal of mathematics},
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     year = {2014},
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