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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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.
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
@article{10_4153_CJM_2013_049_1,
author = {Baird, Thomas},
title = {Moduli {Spaces} of {Vector} {Bundles} over a {Real} {Curve:} {Z/2-Betti} {Numbers}},
journal = {Canadian journal of mathematics},
pages = {961--992},
year = {2014},
volume = {66},
number = {5},
doi = {10.4153/CJM-2013-049-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-049-1/}
}
TY - JOUR AU - Baird, Thomas TI - Moduli Spaces of Vector Bundles over a Real Curve: Z/2-Betti Numbers JO - Canadian journal of mathematics PY - 2014 SP - 961 EP - 992 VL - 66 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-049-1/ DO - 10.4153/CJM-2013-049-1 ID - 10_4153_CJM_2013_049_1 ER -
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