On the strong orderability of overtwisted 3-folds

DOI10.4171/CMH/387zbMath1348.53078arXiv1408.2077OpenAlexW2963234913MaRDI QIDQ290758

Roger Casals, Francisco Presas

Publication date: 3 June 2016

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2077

zbMATH Keywords

orderabilityovertwisted contact structurespositive loops of contactomorphisms

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Contact manifolds (general theory) (53D10)

Related Items (6)

Existence and classification of overtwisted contact structures in all dimensions ⋮ Higher Maslov indices ⋮ Positive loops and \(L^{\infty}\)-contact systolic inequalities ⋮ Geometric criteria for overtwistedness ⋮ Contact round surgery and Lutz twists ⋮ The conjugation method in symplectic dynamics

Cites Work

• Unnamed Item
• Small positive loops on overtwisted manifolds
• Contact homology, capacity and non-squeezing in \(\mathbb R^{ 2n }\times S^{ 1 }\) via generating functions
• Geometry of contact transformations and domains: orderability versus squeezing
• Three-dimensional contact structures and bifurcations of foliations of surfaces
• Classification of overtwisted contact structures on 3-manifolds
• A variational approach to Givental's nonlinear Maslov index
• Legendrian links, causality, and the low conjecture
• Partially ordered groups and geometry of contact transformations

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