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arxiv: 1204.0530 · v2 · pith:SHKTDKYLnew · submitted 2012-04-02 · 🧮 math.GT

The coarse geometry of the Kakimizu complex

classification 🧮 math.GT
keywords complexkakimizucoarseeuclideangenusgeometryintegerknot
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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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