A class of tight contact structures on Sigma_2 x I
Symplectic Geometry
2014-10-01 v1 Geometric Topology
Abstract
We employ cut and paste contact topological techniques to classify some tight contact structures on the closed, oriented genus-2 surface times the interval. A boundary condition is specified so that the Euler class of the of the contact structure vanishes when evaluated on each boundary component. We prove that there exists a unique, non-product tight contact structure in this case.
Cite
@article{arxiv.math/0411208,
title = {A class of tight contact structures on Sigma_2 x I},
author = {Tanya Cofer},
journal= {arXiv preprint arXiv:math/0411208},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-42.abs.html