Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 1 (2018), 111-152.
Classification of tight contact structures on small Seifert fibered $L$–spaces
We identify tight contact structures on small Seifert fibered –spaces as exactly the structures having nonvanishing contact invariant, and classify them by their induced structures. The result (in the new case of ) is based on the translation between convex surface theory and the tightness criterion of Lisca and Stipsicz.
Algebr. Geom. Topol., Volume 18, Number 1 (2018), 111-152.
Received: 29 January 2016
Revised: 30 March 2017
Accepted: 3 July 2017
First available in Project Euclid: 1 February 2018
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R17: Symplectic and contact topology
Matkovič, Irena. Classification of tight contact structures on small Seifert fibered $L$–spaces. Algebr. Geom. Topol. 18 (2018), no. 1, 111--152. doi:10.2140/agt.2018.18.111. https://projecteuclid.org/euclid.agt/1517454213