Matrix models for stationary Gromov-Witten invariants of the Riemann sphere

2020/01/31 by Marco Bertola, Giulio Ruzza · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP

paper · pdf · doi:10.1088/1361-6544/abd85e

published as Nonlinearity (2021) · v3: new appendix B

arxiv created 2021/01/17 · arxiv updated 2021/04/06

Abstract

Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating stationary Gromov-Witten invariants of ℙ¹ as an isomonodromic tau function associated with a difference equation. As a byproduct we obtain an analogue of the Kontsevich matrix model for this tau function. A connection with the Charlier ensemble is also considered.

Cited by

• On Gromov--Witten invariants of ℙ¹-orbifolds and topological difference equations