Volume 14, issue 5 (2014)

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The coarse geometry of the Kakimizu complex

Jesse Johnson, Roberto Pelayo and Robin Wilson

Algebraic & Geometric Topology 14 (2014) 2549–2560
Abstract

We show that the Kakimizu complex of minimal genus Seifert surfaces for a knot in the $3$–sphere is quasi-isometric to a Euclidean integer lattice ${ℤ}^{n}$ for some $n\ge 0$.

Keywords
Kakimizu complex, Seifert surface, knot theory
Primary: 57M25
Secondary: 57N10