Gluing tight contact structures
Geometric Topology
2007-05-23 v1 Differential Geometry
Symplectic Geometry
Abstract
We prove gluing theorems for tight contact structures. In particular, we rederive (as special cases) gluing theorems due to Colin and Makar-Limanov, and present an algorithm for determining whether a given contact structure on a handlebody is tight. As applications, we construct a tight contact structure on a genus 4 handlebody which becomes overtwisted after Legendrian -1 surgery, and study certain Legendrian surgeries on T^3.
Cite
@article{arxiv.math/0102029,
title = {Gluing tight contact structures},
author = {Ko Honda},
journal= {arXiv preprint arXiv:math/0102029},
year = {2007}
}
Comments
28 pages, 23 figures