Non-loose Legendrian Hopf links in lens spaces

Rima Chatterjee

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arXiv · 2510.20779

Non-loose Legendrian Hopf links in lens spaces

Rima Chatterjee

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Abstract

We give a complete classification of non-loose Legendrian Hopf links in $L(p,q)$ generalizing a result of the author with Geiges and Onaran. The classification is for non-loose Hopf links for both zero and non-zero Giroux torsion in their complement. We also give an explicit algorithm for the contact surgery diagrams for all these Legendrian representatives with no Giroux torsion in their complement.

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Rima Chatterjee. 2025-10-23. Non-loose Legendrian Hopf links in lens spaces. https://arxiv.org/abs/2510.20779

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