TL;DR
This paper classifies Legendrian and transverse links in overtwisted contact manifolds using classical invariants, showing coarse classification is possible and exploring properties of loose links.
Contribution
It provides a coarse classification method for links in overtwisted contact structures and constructs examples demonstrating the limitations of this classification.
Findings
Legendrian and transverse links in overtwisted structures are classified by classical invariants.
Loose links with coarse equivalence have support genus zero.
Counterexamples show the converse of the classification does not hold.
Abstract
We prove that Legendrian and transverse links in overtwisted contact structures having overtwisted complements can be classified coarsely by their classical invariants. We further prove that any coarse equivalence class of loose links has support genus zero and constructed examples to show that the converse does not hold.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.