177 citations · 906 across the 50 of their papers we have counts for
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A bijective topological recursion for maps
Gaëtan Borot, Alessandro Giacchetto, Lasse Merkens
We prove bijectively a recursive excision formula for maps of arbitrary topology. This yields the topological recursion formulae governing their enumeration, already at the level o…
Topological recursion for fully simple maps from ciliated maps
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde
Ordinary maps satisfy topological recursion for a certain spectral curve . We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps wi…
Relating ordinary and fully simple maps via monotone Hurwitz numbers
Gaëtan Borot, Séverin Charbonnier, Norman Do +1
A direct relation between the enumeration of ordinary maps and that of fully simple maps first appeared in the work of the first and last authors. The relation is via monotone Hurw…