4 citations · 10 across the 6 of their papers we have counts for
7 papers
Structures in HOMFLY-PT homology
Alex Chandler, Eugene Gorsky
We study the structure of triply graded Khovanov-Rozansky homology using both the data recently computed by Nakagane and Sano for knots up to 11 crossings, and the $\mathfrak{sl}(2…
Type DAHA and Doubly Periodic Tableaux
Léa Bittmann, Alex Chandler, Anton Mellit +1
Analogously to the construction of Suzuki and Vazirani, we construct representations of the -type Double Affine Hecke Algebra at roots of unity. These representations are gra…
Thin Posets, CW Posets, and Categorification
Alex Chandler
Motivated by generalizing Khovanov's categorification of the Jones polynomial, we study functors from thin posets to abelian categories . Such functors pro…
On the Strength of Chromatic Symmetric Homology for graphs
Alex Chandler, Radmila Sazdanovic, Salvatore Stella +1
In this paper, we investigate the strength of chromatic symmetric homology as a graph invariant. Chromatic symmetric homology is a lift of the chromatic symmetric function for grap…
A Broken Circuit Model for Chromatic Homology Theories
Alex Chandler, Radmila Sazdanovic
Using the tools of algebraic Morse theory, and the thin poset approach to constructing homology theories, we give a categorification of Whitney's broken circuit theorem for the chr…
Torsion in thin regions of Khovanov homology
Alex Chandler, Adam M. Lowrance, Radmila Sazdanovic +1
In the integral Khovanov homology of links, the presence of odd torsion is rare. Homologically thin links, that is links whose Khovanov homology is supported on two adjacent diagon…
A Categorification of the Vandermonde Determinant
Alex Chandler
In the spirit of Bar Natan's construction of Khovanov homology, we give a categorification of the Vandermonde determinant. Given a sequence of positive integers $\vec{x}=(x_1,...,x…