A new proof that alternating links are non-trivial

Details A new proof that alternating links are non-trivial A new proof that alternating links are non-trivial

2006-01-11

arxiv.org/abs/math/0601242v2

J. Knot Theory Ramifications 19 (2010) 821-828

Mathematics

Geometric Topology

Minor changes. To appear in Fundamenta Mathematicae

Scientific paper

10.1142/S0218216510008157

We use a simple geometric argument and small cancellation properties of link
groups to prove that alternating links are non-trivial. This proof uses only
classic results in topology and combinatorial group theory.

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