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math.GT2018
Quotients of Definite Periodic Knots are Definite
Keegan Boyle
A knot is definite if . We prove that the quotient of a definite periodic knot is definite by considering equivariant minimal genus Seifert surfaces.
math.GT2018
Rank Inequalities on Knot Floer Homology of Periodic Knots
Keegan Boyle
Let be a 2-periodic knot in with quotient . We prove a rank inequality between the knot Floer homology of and the knot Floer homology of $K…