On the contact mapping class group of Legendrian circle bundles

DOI10.1112/S0010437X16007776zbMath1378.57025arXiv1506.01162MaRDI QIDQ5360268

Emmanuel Giroux, Patrick Massot

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01162

zbMATH Keywords

mapping class groupscontact structures

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) General geometric structures on low-dimensional manifolds (57M50) Contact manifolds (general theory) (53D10)

Related Items (7)

Symplectomorphisms of exotic discs ⋮ Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden ⋮ A monopole invariant for families of contact structures ⋮ On the contact mapping class group of the contactization of the \(A_m\)-Milnor fiber ⋮ Examples of nontrivial contact mapping classes for overtwisted contact manifolds in all dimensions ⋮ A remark on the contactomorphism group of overtwisted contact spheres ⋮ Pseudorotations of the -disc and Reeb flows on the -sphere

Cites Work

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• Contact homology and homotopy groups of the space of contact structures
• Geodesible contact structures on 3-manifolds
• Convexité en topologie de contact. (Convexity in contact topology)
• Contact 3-manifolds twenty years since J. Martinet's work
• Structures de contact sur les fibrés principaux en cercles de dimension trois
• Homeomorphisms of sufficiently large \(P^2\)-irreducible 3-manifolds
• An infinity of tight contact structures on an infinity of manifolds
• Three-dimensional contact structures and bifurcations of foliations of surfaces
• On the classification of tight contact structures. I
• New applications of Luttinger's surgery
• Lagrangian intersections in contact geometry
• The fundamental group of the space of contact structures on the \(3\)-torus
• Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
• Local triviality of the restriction map for embeddings
• Tight contact structures on Seifert manifolds over \(T^2\) with one singular fibre
• Topologie de certains espaces de plongements
• Une structure de contact, même tendue, est plus ou moins tordue
• Chirurgies d'indice un et isotopies de sphères dans les variétés de contact tendues
• ON THE TOPOLOGY OF THE SPACE OF CONTACT STRUCTURES ON TORUS BUNDLES
• Recollement de variétés de contact tendues
• Linear Legendrian curves in $T^3$
• Contact structures on manifolds fibered by circles above a surface

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