Publications (22)
Alexander-Conway Polynomial State Model and Link Homology
Louis H. Kauffman, Marithania Silvero
This paper shows how the Formal Knot Theory state model for the Alexander-Conway polynomial is related to Knot Floer Homology. In particular we prove a parity result about the stat…
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.…
A topological theory of unoriented SL(4) foams
Mikhail Khovanov, Jozef H. Przytycki, Louis-Hadrien Robert +1
Unoriented SL(3) foams are two-dimensional CW complexes with generic singularities embedded in 3- and 4-manifolds. They naturally come up in the Kronheimer-Mrowka SO(3) gauge theor…
Khovanov homotopy type, periodic links and localizations
Maciej Borodzik, Wojciech Politarczyk, Marithania Silvero
Given an -periodic link , we show that the Khovanov spectrum constructed by Lipshitz and Sarkar admits a homology group action. We relate the Borel…
Khovanov homology, wedges of spheres and complexity
Jozef H. Przytycki, Marithania Silvero
Our main result has topological, combinatorial and computational flavor. It is motivated by a fundamental conjecture stating that computing Khovanov homology of a closed braid of f…
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…