11 citations · 19 across the 8 of their papers we have counts for
15 papers
Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line
Carmen Caprau, Nicolle González, Matthew Hogancamp +1
We introduce a family of generalized Schröder polynomials , indexed by triangular partitions and prove that agrees with the Poincaré series of the trip…
Generic curves and non-coprime Catalans
Eugene Gorsky, Mikhail Mazin, Alexei Oblomkov
We compute the Poincaré polynomials of the compactified Jacobians for plane curve singularities with Puiseaux exponents , and relate them to the combinatorics of $q,t…
Equivariant K-theory of the space of partial flags
Sergey Arkhipov, Mikhail Mazin
We use Drinfeld style generators and relations to define an algebra which is a ``'' version of the affine quantum group of We then use the…
Combinatorics of Triangular Partitions
François Bergeron, Mikhail Mazin
The aim of this paper is to develop the combinatorics of constructions associated to what we call \emph{triangular partitions}. As introduced in arXiv:2102.07931, these are the par…
Recursions for rational q,t-Catalan numbers
Eugene Gorsky, Mikhail Mazin, Monica Vazirani
We give a simple recursion labeled by binary sequences which computes rational -Catalan power series, both in relatively prime and non relatively prime cases. It is inspired b…
Pak-Stanley labeling for Central Graphical Arrangements
Mikhail Mazin, Joshua Miller
The original Pak-Stanley labeling was defined by Pak and Stanley as a bijective map from the set of regions of an extended Shi arrangement to the set of parking functions. This map…