4 papers · 1 filter
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}(…
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 gene…
Crossing numbers of cable knots
Efstratia Kalfagianni, Rob Mcconkey
We use the degree of the colored Jones knot polynomials to show that the crossing number of a -cable of an adequate knot with crossing number is larger than . A…
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…