Gluing Localized Mirror Functors
arXiv:1810.02045
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.
69 pages, 39 figures, comments are welcome