Intercontinental Moduli and Algebraic Geometry Seminar

Longting Wu
Speaker Affiliation: 
Southern University of Science and Technology
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March 20, 2023

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Let $D$ be a smooth rational ample divisor in a smooth projective surface $X$. In this talk, we will present a simple uniform recursive formula for (primary) Gromov-Witten invariants of $\mathcal{O}_X(-D)$. The recursive formula can be used to determine such invariants for all genera once some initial data is known. The proof relies on a correspondence between all-genus Gromov–Witten invariants and refined Donaldson–Thomas invariants of acyclic quivers. In particular, the corresponding BPS invariants are expressed in terms of Betti numbers of moduli spaces of quiver representations. This is a joint work with Pierrick Bousseau.

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