Note on the canonical genus of a knot

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Abstract

We show that every canonical Seifert surface is (up to isotopy) given by a knot diagram in which the (open) Seifert disks are pairwise disjoint.

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Publication date Created: 2014-11-06

Publication date Updated: 2015-01-07

Article

ArXiV ID: 1411.1536

SO-VID: bd7ac436-68c8-4145-b82e-42b681445387

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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ACM classes 57M25

Comments The second version acknowledges the fact that the result of the paper is known and established by Mikami Hirasawa

Categories math.GT

ScienceOpen disciplines: Geometry & Topology

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ScienceOpen disciplines: Geometry & Topology

Note on the canonical genus of a knot

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