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 $e_0=-2$

Bülent Tosun

Algebraic & Geometric Topology 20 (2020) 1–27

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.

Keywords

small Seifert fibered spaces, tight contact structures, classification of tight structures

Mathematical Subject Classification 2010

Primary: 57M50

Secondary: 53D10

References

Publication

Received: 3 January 2017

Revised: 27 September 2018

Accepted: 24 October 2018

Published: 23 February 2020

Authors

Bülent Tosun
Department of Mathematics University of Alabama Tuscaloosa, AL United States

Volume 20, issue 1 (2020)