Gluing Localized Mirror Functors

Published 4 Oct 2018 in math.SG | (1810.02045v1)

Abstract: We develop a method of gluing the local mirrors and functors constructed from immersed Lagrangians in the same deformation class. As a result, we obtain a global mirror geometry and a canonical mirror functor. We apply the method to construct the mirrors of punctured Riemann surfaces and show that our functor derives homological mirror symmetry.

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