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arXiv · 2008.04844

A Gromov-Witten theory for simple normal-crossing pairs without log geometry

Hsian-Hua Tseng·Fenglong You
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Abstract

We define a new Gromov-Witten theory relative to simple normal crossing divisors as a limit of Gromov-Witten theory of multi-root stacks. Several structural properties are proved including relative quantum cohomology, Givental formalism, Virasoro constraints (genus zero) and a partial cohomological field theory. Furthermore, we use the degree zero part of the relative quantum cohomology to provide an alternative mirror construction of Gross-Siebert and to prove the Frobenius structure conjecture of Gross-Hacking-Keel.

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Hsian-Hua Tseng, Fenglong You. 2020-08-11. A Gromov-Witten theory for simple normal-crossing pairs without log geometry. https://arxiv.org/abs/2008.04844

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