Search

Talk

Quantum Geometry and Resurgence of Enumerative invariants of Calabi-Yau manifolds

  • Murad Alim (TU Munich, Germany, & Heriot-Watt University Edinburgh, UK)
A3 01 (Sophus-Lie room)

Abstract

Enumerative invariants of Calabi-Yau manifolds are most naturally organized in terms of partition functions of physical theories. Higher genus Gromov-Witten invariants of CY threefolds correspond to the expansion coefficients of a series in a formal parameter which corresponds to the topological string coupling. This series is however only asymptotic. I will show how the analysis of finite difference equations and Borel summation reveals the piecewise analytic structure behind the asymptotic expansion. The resulting Stokes jumps of the piecewise analytic structure encode another set of enumerative invariants of the threefold, namely Donaldson-Thomas invariants.

Upcoming Events of this Seminar