The coarse geometry of the Kakimizu complex

Details The coarse geometry of the Kakimizu complex The coarse geometry of the Kakimizu complex

2012-04-02

arxiv.org/abs/1204.0530v1

Mathematics

Geometric Topology

11 pages

Scientific paper

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 $\mathbb
Z^n$ for some $n \geq 0$.

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