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

Published online by Cambridge University Press:  20 November 2018

Thomas Baird
Thomas Baird*
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7. e-mail: tbaird@mun.ca
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Abstract

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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.

Keywords

32L0514P25cohomology of moduli spacesholomorphic vector bundles
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 66 , Issue 5 , 01 October 2014 , pp. 961 - 992
Copyright
Copyright © Canadian Mathematical Society 2014

References

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