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Invariants of Legendrian knots

Yuri Chekanov
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Abstract

We present two different constructions of invariants for Legendrian knots in the standard contact space $\R^3$. These invariants are defined combinatorially, in terms of certain planar projections, and are useful in distinguishing Legendrian knots that have the same classical invariants but are not Legendrian isotopic.

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Yuri Chekanov. 2003-04-21. Invariants of Legendrian knots. https://arxiv.org/abs/math/0304294

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