The contact mapping class group and rational unknots in lens spaces
arXiv:2207.03590
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.
36 pages, 13 figures; typos corrected, text improved