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2020 Transverse link invariants from the deformations of Khovanov $\mathfrak{sl}_{3}$–homology
Carlo Collari
Algebr. Geom. Topol. 20(4): 1729-1768 (2020). DOI: 10.2140/agt.2020.20.1729

Abstract

We make use of the Mackaay–Vaz approach to the universal 𝔰𝔩3–homology to define a family of cycles (called β3–invariants) which are transverse braid invariants. This family includes Wu’s ψ3–invariant. Furthermore, we analyse the vanishing of the homology classes of the β3–invariants and relate it to the vanishing of Plamenevskaya’s and Wu’s invariants. Finally, we use the β3–invariants to produce some Bennequin-type inequalities.

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Carlo Collari. "Transverse link invariants from the deformations of Khovanov $\mathfrak{sl}_{3}$–homology." Algebr. Geom. Topol. 20 (4) 1729 - 1768, 2020. https://doi.org/10.2140/agt.2020.20.1729

Information

Received: 14 June 2018; Revised: 4 June 2019; Accepted: 24 August 2019; Published: 2020
First available in Project Euclid: 1 August 2020

zbMATH: 07226704
MathSciNet: MR4127083
Digital Object Identifier: 10.2140/agt.2020.20.1729

Subjects:
Primary: 57M25, 57R17
Secondary: 57M27

Rights: Copyright © 2020 Mathematical Sciences Publishers

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