Computations of Szabó’s Geometric Spectral Sequence in Khovanov Homology

Szabo ́ recently introduced a combinatorially-defined spectral se-quence in Khovanov homology [24]. After reviewing its construction and explaining our methodology for computing it, we present results of computations of the spectral sequence. Based on these computa-tions, we make a number of conjectures concerning the structure of the spectral sequence, and towards those conjectures, we prove some propositions.