On the contact mapping class group of Legendrian circle bundles
Geometric Topology
2019-02-20 v1 Symplectic Geometry
Abstract
In this paper, we determine the group of contact transformations modulo contact isotopies for Legendrian circle bundles over closed surfaces of nonpositive Euler characteristic. These results extend and correct those presented by the first author in a former work. The main ingredient we use is connectedness of certain spaces of embeddings of surfaces into contact 3-manifolds. In the third section, this connectedness question is studied in more details with a number of (hopefully instructive) examples.
Keywords
Cite
@article{arxiv.1506.01162,
title = {On the contact mapping class group of Legendrian circle bundles},
author = {Emmanuel Giroux and Patrick Massot},
journal= {arXiv preprint arXiv:1506.01162},
year = {2019}
}
Comments
20 pages. Extends and correct arXiv:math/0102009