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arXiv · 2308.09074

On the descendent Gromov-Witten theory of a K3 surface

Georg Oberdieck
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Abstract

We study the reduced descendent Gromov-Witten theory of K3 surfaces in primitive curve classes. We present a conjectural closed formula for the stationary theory, which generalizes the Bryan-Leung formula. We also prove a new recursion that allows to remove descendent insertions of $1$ in many instances. Together this yields an efficient way to compute a large class of invariants (modulo the conjecture on the stationary part). As a corollary we conjecture a surprising polynomial structure which underlies the Gromov-Witten invariants of the K3 surface.

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Georg Oberdieck. 2023-08-17. On the descendent Gromov-Witten theory of a K3 surface. https://arxiv.org/abs/2308.09074

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