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arXiv · 2310.04908

Existence and construction of non-loose knots

Rima Chatterjee·John B. Etnyre·Hyunki Min·Anubhav Mukherjee
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Abstract

In this paper we give necessary and sufficient conditions for a knot type to admit non-loose Legendrian and transverse representatives in some overtwisted contact structure, classify all non-loose rational unknots in lens spaces, and discuss conditions under which non-looseness is preserved under cabling.

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Rima Chatterjee, John B. Etnyre, Hyunki Min, Anubhav Mukherjee. 2023-10-07. Existence and construction of non-loose knots. https://arxiv.org/abs/2310.04908

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