11 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
Compactified Jacobians and q,t-Catalan numbers, II
Evgeny Gorsky, Mikhail Mazin
We continue the study of the rational-slope generalized -Catalan numbers . We describe generalizations of the bijective constructions of J. Haglund and N. Loehr…
Compactified Jacobians and q,t-Catalan Numbers, I
E. Gorsky, Mikhail Mazin
J. Piontkowski described the homology of the Jacobi factor of a plane curve singularity with one Puiseux pair. We discuss the combinatorial structure of his answer, in particular,…
Symmetries of some motivic integrals
E. Gorsky
We give an explicit formula for the motivic integrals related to the Milnor number over spaces of parametrised arcs on the plane with fixed tangency orders with the axis. These int…
Motivic integrals and functional equations
E. Gorsky
A functional equation for the motivic integral corresponding to the Milnor number of an arc is derived using the Denef-Loeser formula for the change of variables. Its solution is a…