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arXiv · 2310.13059

Gromov--Witten invariants with naive tangency conditions

Felix Janda·Tony Yue Yu
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Abstract

We introduce Gromov-Witten invariants with naive tangency conditions at the marked points of the source curve. We then establish an explicit formula which expresses Gromov-Witten invariants with naive tangency conditions in terms of descendent Gromov-Witten invariants. Several examples of genus zero Gromov-Witten invariants with naive tangencies are computed in the case of curves and surfaces. In particular, the counts of rational curves naively tangent to an anticanonical divisor on a del Pezzo surface are studied, and via mirror symmetry, we obtain a relation to the local Gromov-Witten invariants.

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Felix Janda, Tony Yue Yu. 2023-10-19. Gromov--Witten invariants with naive tangency conditions. https://arxiv.org/abs/2310.13059

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