3 papers
gr-qc2023
Affine linking number estimates for the number of times an observer sees a star
Vladimir Chernov, Ryan Maguire
Affine linking numbers are the generalization of linking numbers to the case of nonzero homologous linked submanifolds. They were introduced by Rudyak and the first author who used…
math.GT2022
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…
math.FA2019
Properties of an infinite dimensional Banach space over the field with two elements
Samuel Gomez, James Rose, Ryan Maguire
A banach space X is a normed vector space, which is complete with respect to the metric induced by the norm. Given a bounded linear operator T acting on a banach space X, T is said…