Abstract
The paper is devoted to the open topological recursion relations in genus 1, which are partial differential equations that conjecturally control open Gromov-Witten invariants in genus 1. We find an explicit formula for any solution analogous to the Dijkgraaf-Witten formula for a descendent Gromov-Witten potential in genus 1. We then prove that at the approximation up to genus 1 the exponent of an open descendent potential satisfies a system of explicitly constructed linear evolutionary PDEs with one spatial variable.
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Gomez, O.B., Buryak, A. Open topological recursion relations in genus 1 and integrable systems. J. High Energ. Phys. 2021, 48 (2021). https://doi.org/10.1007/JHEP01(2021)048
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DOI: https://doi.org/10.1007/JHEP01(2021)048