Gluing Localized Mirror Functors
Symplectic Geometry
2018-10-05 v1
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.
Cite
@article{arxiv.1810.02045,
title = {Gluing Localized Mirror Functors},
author = {Cheol-Hyun Cho and Hansol Hong and Siu-Cheong Lau},
journal= {arXiv preprint arXiv:1810.02045},
year = {2018}
}
Comments
69 pages, 39 figures, comments are welcome