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We study the relationship between Bar-Natan’s perturbation in Khovanov homology and Szabó’s geometric spectral sequence, and construct a link invariant that generalizes both into a common theory. We study a few properties of the new invariant, and introduce a family of -invariants from the new theory in the same spirit as Rasmussen’s -invariant.
Cite this article
Sucharit Sarkar, Cotton Seed, Zoltán Szabó, A perturbation of the geometric spectral sequence in Khovanov homology. Quantum Topol. 8 (2017), no. 3, pp. 571–628DOI 10.4171/QT/97