4 papers
-weight system does not extend to a graph 4-invariant
Daniil Fomichev, Maksim Karev, Fedor Pavutnitskiy +1
A long-standing question by S. Lando asks whether the -weight system extends to a unique 4-invariant of graphs. We show that, in full generality, the answer to th…
Completed Cycles Leaky Hurwitz Numbers
Davide Accadia, Maksim Karev, Danilo Lewański
We introduce -completed cycles -leaky Hurwitz numbers and prove piecewise polynomiality as well as establishing their chamber polynomiality structure and their wall cross…
The sl(2)-weight system at c = 3/8 for graphs
Daniil Fomichev, Maksim Karev
We construct a 4-invariant that extends a specialization of the -weight system at , and satisfies a simple deletion-contraction relation.
On ELSV-type formulae and relations between -integrals via deformations of spectral curves
Gaëtan Borot, Maksim Karev, Danilo Lewański
The general relation between Chekhov-Eynard-Orantin topological recursion and the intersection theory on the moduli space of curves, the deformation techniques in topological recur…