English

A new proof that alternating links are non-trivial

Geometric Topology 2012-03-01 v2

Abstract

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.

Cite

@article{arxiv.math/0601242,
  title  = {A new proof that alternating links are non-trivial},
  author = {Iain Moffatt},
  journal= {arXiv preprint arXiv:math/0601242},
  year   = {2012}
}

Comments

Minor changes. To appear in Fundamenta Mathematicae

R2 v1 2026-07-22T17:29:49.556Z