A Gromov-Witten theory for simple normal-crossing pairs without log geometry
Algebraic Geometry
2023-08-23 v2
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.
Cite
@article{arxiv.2008.04844,
title = {A Gromov-Witten theory for simple normal-crossing pairs without log geometry},
author = {Hsian-Hua Tseng and Fenglong You},
journal= {arXiv preprint arXiv:2008.04844},
year = {2023}
}
Comments
34 pages. Comments are welcome! v2: final version to appear in CMP