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Real determinant line bundles. (English) Zbl 1291.14051

Summary: This article is an expanded version of the talk given by Ch. O. at the Second Latin Congress on “Symmetries in Geometry and Physics” in Curitiba, Brazil in December 2010. In this version we explain the topological and gauge-theoretical aspects of our paper [Commun. Math. Phys. 323, No. 3, 813–858 (2013; Zbl 1287.14030)].

MSC:

14H55 Riemann surfaces; Weierstrass points; gap sequences
14H60 Vector bundles on curves and their moduli
14P25 Topology of real algebraic varieties
30F30 Differentials on Riemann surfaces
14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)

Citations:

Zbl 1287.14030
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