A class of tight contact structures on Sigma_2 x I

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.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-42.abs.html

References in corpus (4)

• On the classification of tight contact structures I
• Structures de contact en dimension trois et bifurcations des feuilletages de surfaces
• Tight contact structures and taut foliations
• Tight contact structures on fibered hyperbolic 3-manifolds

Cited by in corpus (3)

• Classification of tight contact structures on surgeries on the figure-eight knot
• A cut-and-paste approach to contact topology
• Classification of tight contact structures on a solid torus