Computations of Szabó's Geometric Spectral Sequence in Khovanov Homology

Details Computations of Szabó's Geometric Spectral Sequence in Khovanov Homology Computations of Szabó's Geometric Spectral Sequence in Khovanov Homology

2011-10-04

arxiv.org/abs/1110.0735v1

Mathematics

Geometric Topology

31 pages, 9 figures

Scientific paper

Szab\'o 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.

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