Homological mirror symmetry for invertible polynomials in two variables
Symplectic Geometry
2023-06-02 v4 Algebraic Geometry
Abstract
In this paper, we give a proof of homological mirror symmetry for two variable invertible polynomials, where the symmetry group on the -side is taken to be maximal. The proof involves an explicit gluing construction of the Milnor fibres, and as an application, we prove derived equivalences between certain nodal stacky curves, some of whose irreducible components have non-trivial generic stabiliser.
Keywords
Cite
@article{arxiv.2003.01106,
title = {Homological mirror symmetry for invertible polynomials in two variables},
author = {Matthew Habermann},
journal= {arXiv preprint arXiv:2003.01106},
year = {2023}
}
Comments
33 Pages, 3 figures. Comments welcome! V4 agrees with published version