Gromov--Witten theory beyond maximal contacts Article Swipe

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YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2403.17200

Given a smooth projective variety $X$ and a smooth nef divisor $D$, we identify genus zero relative Gromov--Witten invariants of $(X,D)$ with $(n+1)$ relative markings with genus zero relative/orbifold Gromov--Witten invariants of a $\mathbb P^1$-bundle $P:=\mathbb P(\mathcal O_X(-D)\oplus \mathcal O_X)$ with $n$ relative markings. This is a generalization of the local-relative correspondence beyond maximal contacts. Repeating this process, we identify genus zero relative Gromov--Witten invariants with genus zero absolute Gromov--Witten invariants of toric bundles. We also present how this correspondence can be used to compute genus zero two-point relative Gromov--Witten invariants.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2403.17200
PDF: https://arxiv.org/pdf/2403.17200
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4393284719

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DOI: https://doi.org/10.48550/arxiv.2403.17200

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Title: Gromov--Witten theory beyond maximal contacts

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-03-25

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Authors: Yu Wang, Fenglong You

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Landing page: https://arxiv.org/abs/2403.17200

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PDF URL: https://arxiv.org/pdf/2403.17200

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Concepts: Mathematics, Pure mathematics

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