On the descendent Gromov-Witten theory of a K3 surface
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 instanc...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
8 April 2025
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| In: |
Portugaliae mathematica
Year: 2025, Volume: 82, Issue: 3, Pages: 357-386 |
| ISSN: | 1662-2758 |
| DOI: | 10.4171/pm/2143 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.4171/pm/2143 Verlag, kostenfrei, Volltext: https://ems.press/journals/pm/articles/14298704 
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| Author Notes: | Georg Oberdieck |
| Summary: | 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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| Item Description: | Gesehen am 16.01.2026 |
| Physical Description: | Online Resource |
| ISSN: | 1662-2758 |
| DOI: | 10.4171/pm/2143 |