Legendrian barriers in prequantization bundles
Emmanuel Opshtein

TL;DR
This paper demonstrates that prequantization bundles contain explicit Legendrian barriers that prevent the embedding of extended cylinders over Legendrian submanifolds, revealing new geometric obstructions.
Contribution
It introduces explicit Legendrian barriers in prequantization bundles and shows their role in obstructing certain embeddings, a novel geometric insight.
Findings
Legendrian barriers are explicitly constructed in prequantization bundles
These barriers obstruct the embedding of long cylinders over Legendrian submanifolds
The results provide new geometric obstructions in contact topology
Abstract
We show that prequantization bundles have explicit Legendrian barriers, whose removal obstruct the embedding of long cylinders over Legendrian submanifolds.
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
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology
