Notes on the isotopy finiteness
Vincent Colin, Emmanuel Giroux, and Ko Honda
TL;DR
This paper provides a proof that any closed atoroidal 3-manifold admits only finitely many isotopy classes of tight contact structures, contributing to the understanding of contact topology in 3-manifolds.
Contribution
It offers a less official English version of the proof establishing the finiteness of tight contact structures on closed atoroidal 3-manifolds.
Findings
Finiteness of isotopy classes of tight contact structures on closed atoroidal 3-manifolds.
Provides an accessible proof in English for this topological result.
Abstract
This is the less official, English version of the proof of the fact that every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.
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.
Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Connective tissue disorders research