101 citations · 894 across the 40 of their papers we have counts for
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math-ph2016★ 32 cited
Weighted Hurwitz numbers and topological recursion: an overview
A. Alexandrov, G. Chapuy, B. Eynard +1
Multiparametric families of hypergeometric -functions of KP or Toda type serve as generating functions for weighted Hurwitz numbers, providing weighted enumerations of branched…
math-ph2016★ 47 cited
Cut-and-join description of generalized Brezin-Gross-Witten model
Alexander Alexandrov
We investigate the Brezin-Gross-Witten model, a tau-function of the KdV hierarchy, and its natural one-parameter deformation, the generalized Brezin-Gross-Witten tau-function. In p…
math-ph2016★ 10 cited
Open intersection numbers and free fields
Alexander Alexandrov
A complete set of the Virasoro and W-constraints for the Kontsevich-Penner model, which conjecturally describes intersections on moduli spaces of open curves, was derived in our pr…