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2020 Tight small Seifert fibered manifolds with e0=2
Bülent Tosun
Algebr. Geom. Topol. 20(1): 1-27 (2020). DOI: 10.2140/agt.2020.20.1

Abstract

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, we obtain infinitely many counterexamples to a question of Honda, Kazez and Matić that asks whether a right-veering, nondestabilizable open book necessarily supports a tight contact structure.

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Bülent Tosun. "Tight small Seifert fibered manifolds with e0=2." Algebr. Geom. Topol. 20 (1) 1 - 27, 2020. https://doi.org/10.2140/agt.2020.20.1

Information

Received: 3 January 2017; Revised: 27 September 2018; Accepted: 24 October 2018; Published: 2020
First available in Project Euclid: 19 July 2021

Digital Object Identifier: 10.2140/agt.2020.20.1

Subjects:
Primary: 57M50
Secondary: 53D10

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 1 • 2020
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