Conjectures on the Khovanov Homology of Torus Knots, Twist Knots, and Legendrian Simple Knots

Vladimir Chernov, Ryan Maguire

A theorem of Kronheimer and Mrowka states that Khovanov homology is able to detect the unknot. That is, if a knot has the Khovanov homology of the unknot, then it is equivalent to…