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2017 Generalized Seiberg-Witten Equations on a Riemann Surface
Rukmini Dey, Varun Thakre
J. Geom. Symmetry Phys. 45: 47-66 (2017). DOI: 10.7546/jgsp-45-2017-47-66


In this paper we consider twice-dimensionally reduced, generalized Seiberg-Witten (S-W) equations, defined on a compact Riemann surface. A novel feature of the reduction technique is that the resulting equations produce an extra “Higgs field”. Under suitable regularity assumptions, we show that the moduli space of gauge-equivalent classes of solutions to the reduced equations, is a smooth Kähler manifold and construct a pre-quantum line bundle over the moduli space of solutions.


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Rukmini Dey. Varun Thakre. "Generalized Seiberg-Witten Equations on a Riemann Surface." J. Geom. Symmetry Phys. 45 47 - 66, 2017.


Published: 2017
First available in Project Euclid: 5 December 2017

zbMATH: 06854987
MathSciNet: MR3751721
Digital Object Identifier: 10.7546/jgsp-45-2017-47-66

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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