Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

C. Collari

Transverse link invariants from the deformations of Khovanov $\mathfrak{sl}_{3}$-homology

created by collari on 18 Sep 2018
modified on 19 Aug 2020


Published Paper

Inserted: 18 sep 2018
Last Updated: 19 aug 2020

Journal: Algebraic & Geometric Topology
Volume: 20
Number: 4
Pages: 1729–1768
Year: 2018
Doi: 10.2140/agt.2020.20.1729

ArXiv: 1806.00752 PDF


In this paper we will make use of the Mackaay-Vaz approach to the universal $\mathfrak{sl}_3$-homology to define a family of cycles (called $\beta_3$-invariants) which are transverse braid invariants. This family includes Wu's $\psi_{3}$-invariant. Furthermore, we analyse the vanishing of the homology classes of the $\beta_3$-invariants and relate it to the vanishing of Plamenevskaya's and Wu's invariants. Finally, we use the $\beta_3$-invariants to produce some Bennequin-type inequalities.

Credits | Cookie policy | HTML 5 | CSS 2.1