The nonequivariant coherent-constructible correspondence for toric surfaces
arXiv:1507.05393
Abstract
We prove the nonequivariant coherent-constructible correspondence conjectured by Fang-Liu-Treumann-Zaslow in the case of toric surfaces. Our proof is based on describing a semi-orthogonal decomposition of the constructible side under toric point blow-up and comparing it with Orlov's theorem.
arXiv commentv2: minor revision; 19 pages, 9 figures. To appear in Journal of Differential Geometry