Contact handle decompositions
Geometric Topology
2012-06-13 v1
Abstract
We review Giroux's contact handles and contact handle attachments in dimension three and show that a bypass attachment consists of a pair of contact 1 and 2-handles. As an application we describe explicit contact handle decompositions of infinitely many pairwise non-isotopic overtwisted 3-spheres. We also give an alternative proof of the fact that every compact contact 3-manifold (closed or with convex boundary) admits a contact handle decomposition, which is a result originally due to Giroux.
Keywords
Cite
@article{arxiv.0901.4671,
title = {Contact handle decompositions},
author = {Burak Ozbagci},
journal= {arXiv preprint arXiv:0901.4671},
year = {2012}
}