Geodesic
The coarse geometry of the Kakimizu complex
Johnson, Jesse1 ; Pelayo, Roberto2 ; Wilson, Robin3
1Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA
2Department of Mathematics, University of Hawaii at Hilo, Hilo, HI 96720, USA
3Department of Mathematics and Statistics, California State Polytechnic University, Pomona, CA 91768, USA
Algebraic and Geometric Topology, Tome 14 (2014) no. 5, pp. 2549-2560
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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 ℤn for some n ≥ 0.

DOI : 10.2140/agt.2014.14.2549
Classification : 57M25, 57N10
Keywords: Kakimizu complex, Seifert surface, knot theory

Johnson, Jesse  1   ; Pelayo, Roberto  2   ; Wilson, Robin  3

1 Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA
2 Department of Mathematics, University of Hawaii at Hilo, Hilo, HI 96720, USA
3 Department of Mathematics and Statistics, California State Polytechnic University, Pomona, CA 91768, USA 
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Johnson, Jesse; Pelayo, Roberto; Wilson, Robin. The coarse geometry of the Kakimizu complex. Algebraic and Geometric Topology, Tome 14 (2014) no. 5, pp. 2549-2560. doi: 10.2140/agt.2014.14.2549

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