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Splitting of Gromov-Witten Invariants with Toric Gluing Strata

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arxiv 2103.14780 v3 pith:GR4NVICW submitted 2021-03-27 math.AG

Yixian Wu This is my paper · ORCID
classification math.AG
keywords invariantsformulagluinggromov-gromov-wittenpuncturedsplittingstrata
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We prove a splitting formula that reconstructs the logarithmic Gromov- Witten invariants of simple normal crossing varieties from the punctured Gromov- Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties. The formula is based on the punctured Gromov-Witten theory developed in arXiv:2009.07720.

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  1. Mirrors to toric degenerations via intrinsic mirror symmetry

    math.AG 2026-08 conditional novelty 8.0 of 10

    For special toric degenerations of K3 surfaces, the intrinsic mirror and the universal toric degeneration mirror coincide after restricting to the minimal relative Gross-Siebert locus and basechanging by the polarization.

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