160 citations · 1.4k across the 97 of their papers we have counts for
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math-ph2014★ 27 cited
Combinatorics of loop equations for branched covers of sphere
P. Dunin-Barkowski, N. Orantin, A. Popolitov +1
We prove, in a purely combinatorial way, the spectral curve topological recursion for the problem of enumeration of bi-colored maps, which are dual objects to dessins d'enfant. Fur…
math.DG2014★ 13 cited
Bihamiltonian cohomology of KdV brackets
Guido Carlet, Hessel Posthuma, Sergey Shadrin
Using spectral sequences techniques we compute the bihamiltonian cohomology groups of the pencil of Poisson brackets of dispersionless KdV hierarchy. In particular this proves a co…