3 papers
math.RT2025
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…
math.GT2024
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…
math.AG2024
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,…