#### Volume 4, issue 2 (2004)

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A class of tight contact structures on $\Sigma_2 \times I$

### Tanya Cofer

Algebraic & Geometric Topology 4 (2004) 961–1011
 arXiv: math.SG/0411208
##### 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.

##### Keywords
tight, contact structure, genus-2 surface
Primary: 57M50
Secondary: 53C15