Topological Recursion and TQFTs

  • Gaëtan Borot

    Max-Planck-Institut für Mathematik, Bonn, Germany
  • Leonid Chekhov

    Steklov Mathematical Institute, Moscow, Russian Federation
  • Bertrand Eynard

    CEA Saclay, Gif-Sur-Yvette, France
  • Katrin Wendland

    Universität Freiburg, Germany
Topological Recursion and TQFTs cover
Download PDF

A subscription is required to access this article.


The topological recursion is an ubiquitous structure in enumerative geometry of surfaces and topological quantum field theories. Since its invention in the context of matrix models, it has been found or conjectured to compute intersection numbers in the moduli space of curves, topological string amplitudes, asymptotics of knot invariants, and more generally semiclassical expansion in topological quantum field theories. This workshop brought together mathematicians and theoretical physicists with various background to understand better the underlying geometry, learn about recent advances (notably on quantisation of spectral curves, topological strings and quantum gauge theories, and geometry of moduli spaces) and discuss the hot topics in the area.

Cite this article

Gaëtan Borot, Leonid Chekhov, Bertrand Eynard, Katrin Wendland, Topological Recursion and TQFTs. Oberwolfach Rep. 13 (2016), no. 1, pp. 387–448

DOI 10.4171/OWR/2016/9