5 citations · 8 across the 17 of their papers we have counts for
5 papers · 1 filter
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…
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 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…
Khovanov homology of positive links and of L-space knots
Marc Kegel, Naageswaran Manikandan, Leo Mousseau +1
In this article, we develop new obstructions for positivity of links coming from Khovanov homology. More concretely, we show that the first Khovanov homology of a non-split, positi…