The contact mapping class group and rational unknots in lens spaces
Geometric Topology
2024-11-26 v2 Symplectic Geometry
Abstract
We determine the contact mapping class group of the standard contact structures on lens spaces. To prove the main result, we use the one-parametric convex surface theory to classify Legendrian and transverse rational unknots in any tight contact structure on lens spaces up to Legendrian and transverse isotopy.
Keywords
Cite
@article{arxiv.2207.03590,
title = {The contact mapping class group and rational unknots in lens spaces},
author = {Hyunki Min},
journal= {arXiv preprint arXiv:2207.03590},
year = {2024}
}
Comments
36 pages, 13 figures; typos corrected, text improved