5 citations · 8 across the 17 of their papers we have counts for
23 papers
Explicit formulae for the Aicardi-Juyumaya bracket of tied links
O'Bryan Cárdenas-Andaur, Juan González-Meneses, Marithania Silvero
The double bracket (also known as the AJ-bracket) is an invariant of framed tied links that extends the Kauffman bracket of classical links.…
Positive 3-braids, Khovanov homology and Garside theory
Álvaro Del Valle Vílchez, Juan González-Meneses, Marithania Silvero
Khovanov homology is a powerful invariant of oriented links that categorifies the Jones polynomial. Nevertheless, computing Khovanov homology of a given link remains challenging in…
On the notion of Khovanov A-adequacy
Lizzie Buchanan, Huizheng Guo, Gabriel Montoya-Vega +2
The concept of adequate links, introduced by Lickorish and Thistlethwaite as a generalization of alternating links, has recently gained interest among knot theorists in the context…
Independence complexes of circle graphs
Rhea Palak Bakshi, Ali Guo, Dionne Ibarra +4
Independence complexes of circle graphs are purely combinatorial objects. However, when constructed from some diagram of a link , they reveal topological properties of , more…
Quantum annular homology and bigger Burnside categories
Federico Cantero-Morán, Sergio García-Rodrigo, Marithania Silvero
As part of their construction of the Khovanov spectrum, Lawson, Lipshitz and Sarkar assigned to each cube in the Burnside category of finite sets and finite correspondences, a fini…
On unknotting fibered positive knots and braids
Marc Kegel, Lukas Lewark, Naageswaran Manikandan +3
The unknotting number and the genus of braid positive knots are equal, as shown by Rudolph. We prove the stronger statement that any positive braid diagram of a genus k…