2 papers
math.GT2026
Detecting Causality with the Links--Gould Polynomial
Vladimir Chernov, Matthew Harper, Ben-Michael Kohli
The conjectures of Low and Natario--Tod, and Penrose's question on Arnold's Problem list ask if causality in spacetimes can be formulated in terms of linking of spheres of light ra…
math.GT2026
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…