4 citations · 10 across the 6 of their papers we have counts for
4 papers · 1 filter
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…