Classification of tight contact structures on small Seifert fibered \(L\)-spaces

DOI10.2140/agt.2018.18.111zbMath1390.57016arXiv1601.05059OpenAlexW3122727188MaRDI QIDQ679779

Irena Matkovič

Publication date: 22 January 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05059

zbMATH Keywords

tight contact structures\(L\)-spaceSeifert fibered 3-manifoldscontact Ozsváth-Szabó invariantsurgeries

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35)

Related Items (6)

Fillability of small Seifert fibered spaces ⋮ Some applications of Menke’s JSJ decomposition for symplectic fillings ⋮ Seiberg-Witten Floer spectra and contact structures ⋮ Non-loose negative torus knots ⋮ Classification of tight contact structures on surgeries on the figure-eight knot ⋮ Surface singularities and planar contact structures

Cites Work

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• Strongly fillable contact manifolds and \(J\)-holomorphic foliations
• On the existence of tight contact structures on Seifert fibered 3-manifolds
• Contact 3-manifolds twenty years since J. Martinet's work
• Tight contact structures and Seiberg-Witten invariants
• On the Floer homology of plumbed three-manifolds
• On the classification of tight contact structures. I
• On the classification of tight contact structures. II.
• Contact structures with distinct Heegaard-Floer invariants
• On tight contact structures with negative maximal twisting number on small Seifert manifolds
• Heegaard Floer homology and contact structures
• Tight contact structures on some small Seifert fibered 3-manifolds
• LEGENDRIAN VERTICAL CIRCLES IN SMALL SEIFERT SPACES
• Classification of tight contact structures on small Seifert 3–manifolds with 𝑒₀≥0

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