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arxiv: math/0501510 · v3 · submitted 2005-01-28 · 🧮 math.GT

Minimal diagrams of classical knots

classification 🧮 math.GT
keywords classicalknotsminimalatomsbracketcertaincombinatorialcondition
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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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