Repeated boundary slopes for 2-bridge knots

2015/02/16 by Curtis, Cynthia L., Franczak, William, Leiser, Randolph J. +1
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1502.04610

Abstract

We investigate the question of when distinct branched surfaces in the complement of a 2-bridge knot support essential surfaces with identical boundary slopes. We determine all instances in which this occurs and identify an infinite family of knots for which no boundary slopes are repeated.

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