On the descendent Gromov–Witten theory of a K3 surface

  • Georg Oberdieck

    Universität Heidelberg, Germany
On the descendent Gromov–Witten theory of a K3 surface cover
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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 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.

Cite this article

Georg Oberdieck, On the descendent Gromov–Witten theory of a K3 surface. Port. Math. 82 (2025), no. 3/4, pp. 357–386

DOI 10.4171/PM/2143