Legendrian contact homology in $\mathbb{R}^3$

John B. Etnyre; Lenhard L. Ng

Legendrian contact homology in $\mathbb{R}^3$

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arxiv 1811.10966 v5 pith:C2VYWN5O submitted 2018-11-27 math.SG math.GT

John B. Etnyre , Lenhard L. Ng This is my paper · ORCID

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keywords legendriancontacthomologymathbbaddedalgebrachekanov-eliashbergdifferential

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abstract

This is an introduction to Legendrian contact homology and the Chekanov-Eliashberg differential graded algebra, with a focus on the setting of Legendrian knots in $\mathbb{R}^3$. This is the published version of the paper, but with a section of errata added at the end.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Legendrian DGA Representations and the Colored Kauffman Polynomial
math.SG 2019-08 accept novelty 7.0 of 10

For every Legendrian knot, ungraded n-dimensional representation numbers of its contact homology DGA equal the n-colored Kauffman polynomial specialized at a^{-1}=0.

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