Existence and Construction of Non-Loose Knots

Rima Chatterjee; John B. Etnyre; Hyunki Min; Anubhav Mukherjee

doi:10.1093/imrn/rnaf210

Existence and Construction of Non-Loose Knots

Rima Chatterjee
, John B. Etnyre
, Hyunki Min
, Anubhav Mukherjee

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	rnaf210
Journal	International Mathematics Research Notices
Volume	2025
Issue number	14
DOIs	https://doi.org/10.1093/imrn/rnaf210
State	Published - Jul 1 2025

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnaf210

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title = "Existence and Construction of Non-Loose Knots",

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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AB - 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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UR - https://www.scopus.com/pages/publications/105011143547#tab=citedBy

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DO - 10.1093/imrn/rnaf210

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 14

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Existence and Construction of Non-Loose Knots

Abstract

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