Tight small Seifert fibered manifolds with e0=-2

Tosun, Bülent

doi:10.2140/agt.2020.20.1

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Tight small Seifert fibered manifolds with e₀=-2

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Tosun, Bülent
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2140/agt.2020.20.1
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Citation

Tosun, B. (2020). Tight small Seifert fibered manifolds with e₀=-2. Algebraic & Geometric Topology, 20(1), 1-27. doi:10.2140/agt.2020.20.1.

Cite as: https://hdl.handle.net/21.11116/0000-0007-7BC8-E

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-Mati\'{c} that asks whether a
right-veering, non-destabilizable open book necessarily supports a tight contact structure.