Computations of Szabó's Geometric Spectral Sequence in Khovanov Homology

Abstract

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

31 pages, 9 figures

References in corpus (5)

• On the Khovanov and knot Floer homologies of quasi-alternating links
• A geometric spectral sequence in Khovanov homology
• Computing HF^ by factoring mapping classes
• A link surgery spectral sequence in monopole Floer homology
• Odd Khovanov homology is mutation invariant

Cited by in corpus (3)

• An integral lift, starting in odd Khovanov homology, of Szabó's spectral sequence
• Strong Khovanov-Floer Theories and Functoriality
• Mutation-invariance of Khovanov-Floer theories