Corpus ID: 119696506

The Ozsváth-Szabó spectral sequence and combinatorial link homology

@article{Saltz2015TheOS,
  title={The Ozsv{\'a}th-Szab{\'o} spectral sequence and combinatorial link homology},
  author={Adam Saltz},
  journal={arXiv: Geometric Topology},
  year={2015}
}
  • Adam Saltz
  • Published 2015
  • Mathematics
  • arXiv: Geometric Topology
  • The Khovanov homology of a link in $S^3$ and the Heegaard Floer homology of its branched double cover are related through a spectral sequence constructed by Ozsv\'ath and Szab\'o. This spectral sequence has topological applications but is difficult to compute. We build an isomorphic spectral sequence whose underlying filtered complex is as simple as possible: it has the same rank as the Khovanov chain group. We show that this spectral sequence is not isomorphic to Szab\'o's combinatorial… CONTINUE READING
    Strong Khovanov-Floer Theories and Functoriality
    4

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 30 REFERENCES
    An integral lift, starting in odd Khovanov homology, of Szab\'o's spectral sequence
    6
    On the spectral sequence from Khovanov homology to Heegaard Floer homology
    47
    Khovanov Homology, Sutured Floer Homology, and Annular Links
    25
    An invariant of link cobordisms from Khovanov's homology theory
    40
    Computations of Szab\'o's Geometric Spectral Sequence in Khovanov Homology
    8
    Khovanov homology and knot Floer homology for pointed links
    20
    Notes on the Heegaard-Floer Link Surgery Spectral Sequence
    14
    A spanning tree model for the Heegaard Floer homology of a branched double-cover
    27
    Khovanov's homology for tangles and cobordisms
    402
    A perturbation of the geometric spectral sequence in Khovanov homology
    9