2000 character limit reached
Tangle contact homology
Published 6 Oct 2022 in math.SG and math.GT | (2210.03036v4)
Abstract: Knot contact homology is an ambient isotopy invariant of knots and links in $\mathbb R3$. 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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