|XXXIV Workshop on Geometric Methods in Physics||28.06-4.07.2015|
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Participants of School
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Non-orientable surfaces and S-duality
In this talk, I explain the role of non-orientable surfaces in twisted N=4 supersymmetric Yang-Mills theory in 4 dimensions whose compactification along orientable surfaces yields mirror symmetry and geometric Langlands program as studied by Kapustin and Witten. I relate the discrete electric and magnetic fluxes of 't Hooft in 4 dimensions to the topology of moduli spaces.