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arxiv: 1810.02045 · v1 · pith:O7TP7FALnew · submitted 2018-10-04 · 🧮 math.SG

Gluing Localized Mirror Functors

classification 🧮 math.SG
keywords mirrorfunctorfunctorsgluingmethodmirrorsapplycanonical
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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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