A class of tight contact structures on Σ 2 × I
نویسنده
چکیده
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. AMS Classification 57M50; 53C15
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