A perturbation of the geometric spectral sequence in Khovanov homology

Sucharit Sarkar; Cotton Seed; Zoltán Szabó

doi:10.4171/QT/97

A perturbation of the geometric spectral sequence in Khovanov homology

Sucharit Sarkar, Cotton Seed, Zoltán Szabó

Mathematics

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6 Scopus citations

Abstract

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 s-invariants from the new theory in the same spirit as Rasmussen’s s-invariant.

Original language	English (US)
Pages (from-to)	571-628
Number of pages	58
Journal	Quantum Topology
Volume	8
Issue number	3
DOIs	https://doi.org/10.4171/QT/97
State	Published - 2017

All Science Journal Classification (ASJC) codes

Mathematical Physics
Geometry and Topology

Keywords

Bar-natan spectral sequence
Geometric spectral sequence
Khovanov homology

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abstract = "We study the relationship between Bar-Natan{\textquoteright}s perturbation in Khovanov homology and Szab{\'o}{\textquoteleft}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{\textquoteright}s s-invariant.",

keywords = "Bar-natan spectral sequence, Geometric spectral sequence, Khovanov homology",

author = "Sucharit Sarkar and Cotton Seed and Zolt{\'a}n Szab{\'o}",

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T1 - A perturbation of the geometric spectral sequence in Khovanov homology

AU - Sarkar, Sucharit

AU - Seed, Cotton

AU - Szabó, Zoltán

N1 - Publisher Copyright: © European Mathematical Society 2017.

PY - 2017

Y1 - 2017

N2 - 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 s-invariants from the new theory in the same spirit as Rasmussen’s s-invariant.

AB - 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 s-invariants from the new theory in the same spirit as Rasmussen’s s-invariant.

KW - Bar-natan spectral sequence

KW - Geometric spectral sequence

KW - Khovanov homology

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ER -

A perturbation of the geometric spectral sequence in Khovanov homology

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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