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