Quotients of Definite Periodic Knots are Definite

2018/10/02 by Boyle, Keegan
#57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1810.01524

Abstract

A knot K is definite if |σ(K)| = 2g(K). We prove that the quotient of a definite periodic knot is definite by considering equivariant minimal genus Seifert surfaces.

Related

• Periodic spanning surfaces of periodic knots
• Invariant Seifert surfaces for strongly invertible knots
• On the periodic non-orientable 4-genus of a knot
• Note on the canonical genus of a knot
• Knots with many minimal genus Seifert surfaces