5 papers
Counting Strict Gridlock on Graphs
Matthew I. Jones, Zachary Winkeler
Graph colorings have been of interest to mathematicians for a long time, but relatively recently, social scientists have also found them to be interesting tools for studying group…
Khovanov homology and Lagrangian cobordisms
Gage Martin, Ina Petkova, Zachary Winkeler
We provide a partial answer to a question of Ekholm, Honda, and Kálmán about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize prev…
Spectral GRID invariants and Lagrangian cobordisms
Mitchell Jubeir, Ina Petkova, Noah Schwartz +2
We prove that the filtered GRID invariants of Legendrian links in link Floer homology, and consequently their associated invariants in the spectral sequence, obstruct decomposable…
On the invariance of the Dowlin spectral sequence
Samuel Tripp, Zachary Winkeler
Given a link , Dowlin constructed a filtered complex inducing a spectral sequence with -page isomorphic to the Khovanov homology and -page isom…
Khovanov homology for links in thickened multipunctured disks
Zachary Winkeler
We define a variant of Khovanov homology for links in thickened disks with multiple punctures. This theory is distinct from the one previously defined by Asaeda, Przytycki, and Sik…