The diffeotopy group of S1×S2 via contact topology

DOI10.1112/S0010437X09004606zbMath1209.57021arXiv0903.1488MaRDI QIDQ3577322

Fan Ding, Hansjörg Geiges

Publication date: 22 July 2010

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

Full work available at URL: https://arxiv.org/abs/0903.1488

zbMATH Keywords

Legendrian knotcontact topologydiffeotopy group

Mathematics Subject Classification ID

Related Items (9)

Contact Structures and Geometric Topology ⋮ Legendrian torus knots in S¹ × S² ⋮ Sutured ECH is a natural invariant ⋮ Higher Maslov indices ⋮ Fundamental groups of formal Legendrian and horizontal embedding spaces ⋮ A monopole invariant for families of contact structures ⋮ The Legendrian knot complement problem ⋮ Examples of nontrivial contact mapping classes for overtwisted contact manifolds in all dimensions ⋮ A remark on the contactomorphism group of overtwisted contact spheres

Cites Work

• Contact homology and homotopy groups of the space of contact structures
• Contact 3-manifolds twenty years since J. Martinet's work
• Chekanov--Eliashberg invariant of Legendrian knots: Existence of augmentations
• The Embedding of Two-Spheres in the Four-Sphere
• On the Diffeomorphism Group of S 1 × S 2
• Chirurgies d'indice un et isotopies de sphères dans les variétés de contact tendues

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