On the order of Dehn twists

MaRDI QIDQ2685406

Ailsa Keating, Oscar Randal-Williams

Publication date: 21 February 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13154

zbMATH Keywords

Dehn twistssymplectomorphismsgeneralised mapping class groups

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Symplectic and contact topology in high or arbitrary dimension (57R17) Almost contact and almost symplectic manifolds (53D15) Differential topological aspects of diffeomorphisms (57R50)

Cites Work

• Two remarks on fiber homotopy type
• A topological classification of complex structures on \(S^1 \times \Sigma^{2n-1}\)
• Lagrangian two-spheres can be symplectically knotted
• Kernel of the variation operator and periodicity of open books
• The stable homotopy of the classical groups
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• On the nonexistence of elements of Kervaire invariant one
• Brieskorn manifolds in contact topology
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
• Graded lagrangian submanifolds
• On the Inertia Group of a Product of Spheres
• Some Calculations of Homotopy Groups of Symmetric Spaces
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