Abstract
We review the geometry of the moduli space of flat connections and Hitchin’s moduli space for an orientable or non-orientable surface, and study various line bundles over the moduli spaces. After a survey of the background materials, we consider the quantization of Hitchin’s moduli space for a nonorientable surface by branes and mirror symmetry.
Mathematics Subject Classification (2010). Primary 53D30; Secondary 53D50, 81T45.
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© 2016 Springer International Publishing Switzerland
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Wu, S. (2016). Quantization of Hitchin’s Moduli Space of a Non-orientable Surface. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_27
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DOI: https://doi.org/10.1007/978-3-319-31756-4_27
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-31755-7
Online ISBN: 978-3-319-31756-4
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