2 papers
math.GT2024
Freely 2-periodic knots have two canonical components
Keegan Boyle, Nicholas Rouse
We prove that the SL(2, C) character variety of a hyperbolic, freely 2-periodic knot has two canonical components. We also prove that the hyperbolic torsion polynomial of such a kn…
math.GT2023
Obstructions to free periodicity and symmetric L-space knots
Keegan Boyle, Nicholas Rouse, Ben Williams
We investigate a polynomial factorization problem that naturally arises from Hartley's factorization condition on the Alexander polynomial of freely periodic knots. We give a numbe…