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

Irena Matkovič

Algebraic & Geometric Topology 18 (2018) 111–152
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 Spinc structures. The result (in the new case of M(1;r1,r2,r3)) is based on the translation between convex surface theory and the tightness criterion of Lisca and Stipsicz.

Keywords
Seifert fibered $3$–manifolds, tight contact structures, contact Ozsváth–Szabó invariant, convex surface theory
Mathematical Subject Classification 2010
Primary: 57R17
References
Publication
Received: 29 January 2016
Revised: 30 March 2017
Accepted: 3 July 2017
Published: 10 January 2018
Authors
Irena Matkovič
Department of Mathematics
Central European University
Budapest
Hungary