On the descendent Gromov–Witten theory of a K3 surface
Year: 2025
Type: article
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.
Source: Portugaliae Mathematica
DOI: 10.4171/pm/2143
Author: Georg Oberdieck
Institution: Heidelberg University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409273182