# Legendrian Hopf links

**Authors:** Hansj\"org Geiges, Sinem Onaran

arXiv: 1907.06489 · 2024-01-17

## TL;DR

This paper provides a complete classification of Legendrian realizations of the Hopf link in the 3-sphere with any contact structure, up to coarse equivalence.

## Contribution

It offers a comprehensive classification of Legendrian Hopf links in all contact structures on the 3-sphere, filling a gap in contact topology.

## Key findings

- Complete classification of Legendrian Hopf links
- Applicable to all contact structures on the 3-sphere
- Advances understanding of Legendrian link invariants

## Abstract

We completely classify Legendrian realisations of the Hopf link, up to coarse equivalence, in the 3-sphere with any contact structure.

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Source: https://tomesphere.com/paper/1907.06489