Algebraic & Geometric Topology

Classification of tight contact structures on small Seifert fibered $L$–spaces

Irena Matkovič

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Abstract

We identify tight contact structures on small Seifert fibered L –spaces as exactly the structures having nonvanishing contact invariant, and classify them by their induced Spin c structures. The result (in the new case of M ( − 1 ; r 1 , r 2 , r 3 ) ) is based on the translation between convex surface theory and the tightness criterion of Lisca and Stipsicz.

Article information

Source
Algebr. Geom. Topol., Volume 18, Number 1 (2018), 111-152.

Dates
Received: 29 January 2016
Revised: 30 March 2017
Accepted: 3 July 2017
First available in Project Euclid: 1 February 2018

Permanent link to this document
https://projecteuclid.org/euclid.agt/1517454213

Digital Object Identifier
doi:10.2140/agt.2018.18.111

Mathematical Reviews number (MathSciNet)
MR3748240

Zentralblatt MATH identifier
06828001

Subjects
Primary: 57R17: Symplectic and contact topology

Keywords
Seifert fibered $3$–manifolds tight contact structures contact Ozsváth–Szabó invariant convex surface theory

Citation

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


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