Existence and construction of non-loose knots
Joint work with Rima Chatterjee, Anubhav Mukherjee and Hyunki Min,
IMRN 2025(14) (2025), 1--29.

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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