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arXiv · 1811.01879

Integral transforms and quantum correspondences

Mark Shoemaker
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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.

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Mark Shoemaker. 2018-11-05. Integral transforms and quantum correspondences. https://arxiv.org/abs/1811.01879

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