A perturbation of the geometric spectral sequence in Khovanov homology

DOI10.4171/QT/97zbMath1381.57009arXiv1410.2877OpenAlexW2963836299MaRDI QIDQ2406854

Cotton Seed, Zoltán Szabó, Sucharit Sarkar

Publication date: 29 September 2017

Published in: Quantum Topology (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1410.2877

zbMATH Keywords

Khovanov homologyBar-Natan spectral sequencegeometric spectral sequence

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Floer homology (57R58)

Related Items (7)

An odd Khovanov homotopy type ⋮ On spectral sequences from Khovanov homology ⋮ On the uniqueness of Sarkar-Seed-Szabo construction ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ Localization in Khovanov homology ⋮ A FAST ALGORITHM FOR CALCULATING S-INVARIANTS ⋮ Annular link invariants from the Sarkar-Seed-Szabó spectral sequence

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