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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Stokes constants in topological string theory

## Stokes constants in topological string theoryAdd to your list(s) Download to your calendar using vCal - Claudia Rella (University of Geneva)
- Friday 04 November 2022, 14:00-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. AR2W02 - Mathematics of beyond all-orders phenomena Building on recent progress in the study of the enumerative invariants of theories based on quantum curves within the analytic framework of resurgence, I will discuss how the machinery of resurgence can be applied to the asymptotic series that arise naturally as perturbative expansions in a strongly-coupled limit of topological string theory on a toric Calabi-Yau threefold. These asymptotic series show infinite towers of singularities in their Borel plane. The corresponding infinitely-many Stokes constants can be regarded as a new conjectural class of topological invariants of the underlying theory, and they can be organized as coefficients of generating functions given by q-series. I will present an explicit analysis of a well-known example of toric Calabi-Yau geometry, whose resurgent structure turns out to be analytically solvable. This leads to proven exact formulae for the Stokes constants in the strong coupling regime. The analytic approach that I propose is then straightforwardly extended to the dual weakly-coupled limit of topological strings on the same background, which has been studied numerically in a recent work by Gu and Mariño. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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