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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…
math.GT2023
Types of Symmetries of Knots
Keegan Boyle, Nicholas Rouse, Ben Williams
We classify all finite group actions on knots in the 3-sphere. By geometrization, all such actions are conjugate to actions by isometries, and so we may use orthogonal representati…