A class of tight contact structures on Sigma_2 x I

Details A class of tight contact structures on Sigma_2 x I A class of tight contact structures on Sigma_2 x I

2004-11-09

arxiv.org/abs/math/0411208v1

Algebr. Geom. Topol. 4 (2004) 961-1011

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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