Oberwolfach Reports

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Volume 13, Issue 1, 2016, pp. 387–448
DOI: 10.4171/OWR/2016/9

Topological Recursion and TQFTs

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

(1) Max Planck-Institut, für Mathematik, Vivatsgasse 7, 53111, BONN, GERMANY
(2) Steklov Mathematical Institute, ul. Gubkina 8, 119991, MOSCOW, RUSSIAN FEDERATION
(3) Institut de Physique Théorique, CEA Saclay, Orme des Merisiers Bât. 774, Point courrier 136, 91191, GIF-SUR-YVETTE CEDEX, FRANCE
(4) Mathematisches Institut, Universität Freiburg, Eckerstr. 1, 79104, 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.

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