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A class of tight contact structures on Sigma_2 x I

Tanya Cofer
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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.

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Tanya Cofer. 2004-11-09. A class of tight contact structures on Sigma_2 x I. https://doi.org/10.2140/agt.2004.4.961

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