Minimal diagrams of classical knots

Details Minimal diagrams of classical knots Minimal diagrams of classical knots

2005-01-28

arxiv.org/abs/math/0501510v3

Mathematics

Geometric Topology

References corrected

Scientific paper

We show that if a classical knot diagram satisfies a certain combinatorial
condition then it is minimal with respect to the number of classical crossings.
This statement is proved by using the Kauffman bracket and the construction of
atoms and knots.

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