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.
Citation
Tanya Cofer. "A class of tight contact structures on $\Sigma_2 \times I$." Algebr. Geom. Topol. 4 (2) 961 - 1011, 2004. https://doi.org/10.2140/agt.2004.4.961
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