A perturbation of the geometric spectral sequence in Khovanov homology

Sucharit Sarkar; Cotton Seed; Zoltan Szabo

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arXiv · 1410.2877

A perturbation of the geometric spectral sequence in Khovanov homology

Sucharit Sarkar·Cotton Seed·Zoltan Szabo

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Abstract

We study the relationship between Bar-Natan's perturbation in Khovanov homology and Szabo'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 s-invariants from the new theory in the same spirit as Rasmussen's s-invariant.

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Sucharit Sarkar, Cotton Seed, Zoltan Szabo. 2016-01-13. A perturbation of the geometric spectral sequence in Khovanov homology. https://arxiv.org/abs/1410.2877

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