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Doubly slice odd pretzel knots

2019/04/29 by McDonald, Clayton
#57M25 #57M27 #57Q45 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1904.12955

Abstract

We prove that an odd pretzel knot is doubly slice if it has 2n+1 twist parameters consisting of n+1 copies of a and n copies of -a for some odd integer a. Combined with the work of Issa and McCoy, it follows that these are the only doubly slice odd pretzel knots.

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