279 citations · 1k across the 28 of their papers we have counts for
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math-ph2012★ 49 cited
Think globally, compute locally
Vincent Bouchard, Bertrand Eynard
We introduce a new formulation of the so-called topological recursion, that is defined globally on a compact Riemann surface. We prove that it is equivalent to the generalized recu…
math-ph2012★ 36 cited
A generalized topological recursion for arbitrary ramification
Vincent Bouchard, Joel Hutchinson, Prachi Loliencar +2
The Eynard-Orantin topological recursion relies on the geometry of a Riemann surface S and two meromorphic functions x and y on S. To formulate the recursion, one must assume that…