Gauss paragraphs of classical links and a characterization of virtual link groups

Details Gauss paragraphs of classical links and a characterization of virtual link groups Gauss paragraphs of classical links and a characterization of virtual link groups

2006-10-30

arxiv.org/abs/math/0610929v2

Mathematics

Geometric Topology

12 pages, 12 figures, v2: new results have been added

Scientific paper

A classical link in 3-space can be represented by a Gauss paragraph encoding a link diagram in a combinatorial way. A Gauss paragraph may code not a classical link diagram, but a diagram with virtual crossings. We present a criterion and a linear algorithm detecting whether a Gauss paragraph encodes a classical link. We describe Wirtinger presentations realizable by virtual link groups.

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