UNKNOTTING TUNNELS FOR P(-2,3,7)

2005/12/01 by Daniel J. Heath, Hyun-Jong Song · 1 voice
Mathematics · Computer Science · Biochemistry, Genetics and Molecular Biology · #Geometric and Algebraic Topology #semigroups and automata theory #Connective tissue disorders research

paper · doi:10.1142/s0218216505004238

openalex publication_date 2005/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

There are exactly four mutually non-isotopic unknotting tunnels τ i , i = 1,2,3,4 for the pretzel knot P(-2,3,7). Moreover, there are at most 3 non-stabilized genus 3 Heegaard splittings.

Discussions

• I've been trying to visualize the canonical ideal triangulation of the complement of the pretzel knot $P(-2,3,7)$ , as has been done for the figure eight knot in this overflow post. Concretely, I woul [stackexchange, 6 points]