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math.GT2025
A condition on the Khovanov homology of three families of positive links
Lizzie Buchanan
In previous work, we developed diagram-independent upper bounds on the maximum degree of the Jones polynomial of three families of positive links. These families are characterized…
math.GT2025
A condition on the Jones polynomial for a family of positive links
Lizzie Buchanan
We provide a bound on the maximum degree of the Jones polynomial of any positive link with second Jones coefficient equal to . This builds on the result of our previous work…
math.GT2025
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…