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A short overview of the "Topological recursion": (extended version of the Seoul ICM 2014 proceedings)

Abstract : This review is an extended version of the Seoul ICM 2014 proceedings.It is a short overview of the "topological recursion", a relation appearing in the asymptotic expansion of many integrable systems and in enumerative problems. We recall how computing large size asymptotics in random matrices, has allowed to discover some fascinating and ubiquitous geometric invariants. Specializations of this method recover many classical invariants, like Gromov–Witten invariants, or knot polynomials (Jones, HOMFLY,...). In this short review, we give some examples, give definitions, and review some properties and applications of the formalism.
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Contributor : Bertrand Eynard <>
Submitted on : Thursday, December 11, 2014 - 10:04:14 AM
Last modification on : Monday, February 10, 2020 - 6:13:39 PM
Long-term archiving on: : Thursday, March 12, 2015 - 10:16:01 AM


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  • HAL Id : cea-01093070, version 2
  • ARXIV : 1412.3286



B Eynard. A short overview of the "Topological recursion": (extended version of the Seoul ICM 2014 proceedings). 2014. ⟨cea-01093070v2⟩



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