The Resurgent Structure of Topological Strings
Explore the resurgent structure of topological strings in this 58-minute lecture by Marcos Mariño from the Université de Genève. Delve into the perturbation theory of topological strings, described by factorially divergent series, and examine their Borel singularities and alien derivatives. Learn about trans-series solutions of the holomorphic anomaly equations of BCOV and discover exact formulae for relevant trans-series. Investigate a general conjecture for the resurgent structure of topological string theory, tested in compact and non-compact Calabi-Yau manifolds and matrix models. Compare the resulting structure with similar results on quantum periods and understand the complexity of Stokes automorphisms in topological string theory beyond the Delabaere-Pham formula. Gain insights into the ongoing search for a non-perturbative understanding of topological string theory and explore experimental evidence from the quintic Calabi-Yau manifold.