papers

Publications (3)

math.GT2023

Linear Bounds of the Crosscap Number of Knots

Rob McConkey

Kalfagianni and Lee found two-sided bounds for the crosscap number of an alternating link in terms of certain coefficients of the Jones polynomial. We show here that we can find si…

math.GT2025

Satellite Operations and

Rob McConkey, Luke J Seaton

We study the behavior of the knot invariant under satellite operations. First, we prove that is additive under connected sum. We then introduce a computational tool to ge…

math.GT2026

Deeply Slice Knot Detection via Immersed Curves

Rob McConkey, Christopher St. Clair, Tristan Wells +1

On the Kirby list, Akbulut poses the question of whether there exists a homology 3-sphere , other than , with the following property: Any knot , representing $0\inπ_{1}…