The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Oberwolfach Reports

Full-Text PDF (1228 KB) | Introduction as PDF | Metadata | Table of Contents | OWR summary
Volume 13, Issue 1, 2016, pp. 387–448
DOI: 10.4171/OWR/2016/9

Published online: 2016-10-11

Topological Recursion and TQFTs

Gaëtan Borot[1], Leonid Chekhov[2], Bertrand Eynard[3] and Katrin Wendland[4]

(1) Max-Planck-Institut für Mathematik, Bonn, Germany
(2) Steklov Mathematical Institute, Moscow, Russian Federation
(3) CEA Saclay, Gif-Sur-Yvette, France
(4) Universität Freiburg, Germany

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.

No keywords available for this article.

Borot Gaëtan, Chekhov Leonid, Eynard Bertrand, Wendland Katrin: Topological Recursion and TQFTs. Oberwolfach Rep. 13 (2016), 387-448. doi: 10.4171/OWR/2016/9