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arXiv · 2209.13176

Non-archimedean Gromov-Witten invariants

Mauro Porta·Tony Yue YU
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Abstract

Motivated by mirror symmetry and the enumeration of holomorphic disks, we construct the theory of Gromov-Witten invariants in the setting of non-archimedean analytic geometry. We build on our previous works on derived non-archimedean geometry and non-archimedean quantum K-invariants, as well as recent developments of rigid analytic motives and virtual fundamental classes in derived geometry. Our approach gives also a new perspective for the classical algebraic case.

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Mauro Porta, Tony Yue YU. 2022-09-27. Non-archimedean Gromov-Witten invariants. https://arxiv.org/abs/2209.13176

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