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arXiv · 2210.03036

Tangle contact homology

Johan Asplund
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Abstract

Knot contact homology is an ambient isotopy invariant of knots and links in $\mathbb R^3$. The purpose of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove that gluing of tangles gives a gluing formula for knot contact homology. As a consequence of the gluing formula we obtain that the tangle contact homology detects triviality of tangles.

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Johan Asplund. 2022-10-06. Tangle contact homology. https://doi.org/10.1142/s0129167x24500447

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