Tight small Seifert fibered manifolds with $e_0=-2$

Bulent Tosun

doi:10.2140/agt.2020.20.1

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arXiv · 1510.06948

Tight small Seifert fibered manifolds with $e_0=-2$

Bulent Tosun

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Abstract

In this paper we provide the classification of tight contact structures on some small Seifert fibered manifolds. As an application of this classification, combined with work of Lekili in \cite{L2010}, we obtain infinitely many counterexamples to a question of Honda-Kazez-Matić that asks whether a right-veering, non-destabilizable open book necessarily supports a tight contact structure.

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Bulent Tosun. 2016-03-24. Tight small Seifert fibered manifolds with $e_0=-2$. https://doi.org/10.2140/agt.2020.20.1

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