Non-loose Legendrian Hopf links in lens spaces

Fuente: arXiv
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Auteur principal: Chatterjee, Rima
Format: Preprint
Publié: 2025
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author Chatterjee, Rima
author_facet Chatterjee, Rima
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_20779
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-loose Legendrian Hopf links in lens spaces
Chatterjee, Rima
Geometric Topology
Symplectic Geometry
53D10, 53D35, 57K33, 57K10
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.
title Non-loose Legendrian Hopf links in lens spaces
topic Geometric Topology
Symplectic Geometry
53D10, 53D35, 57K33, 57K10
url https://arxiv.org/abs/2510.20779