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 $S_{\ddot{I}}„(q,t,a)$, indexed by triangular partitions $\ddot{I}„$ and prove that $S_{\ddot{I}}„(q,t,a)$ agrees with the Poincaré series of the…