Integral transforms and quantum correspondences
Algebraic Geometry
2020-10-27 v3
Abstract
We reframe a collection of well-known comparison results in genus zero Gromov-Witten theory in order to relate these to integral transforms between derived categories. This implies that various comparisons among Gromov-Witten theories and FJRW theory are compatible with the integral structure introduced by Iritani. We conclude with a proof that a version of the LG/CY correspondence relating quantum D-modules with Orlov's equivalence is implied by a version of the crepant transformation conjecture.
Keywords
Cite
@article{arxiv.1811.01879,
title = {Integral transforms and quantum correspondences},
author = {Mark Shoemaker},
journal= {arXiv preprint arXiv:1811.01879},
year = {2020}
}
Comments
Final version. To appear in Advances in Mathematics