CYLINDRICAL CONTACT HOMOLOGY OF A DEHN TWIST

DOI10.1142/S0129167X09005819zbMath1184.57021OpenAlexW2024398984MaRDI QIDQ5852046

Mei-Lin Yau

Publication date: 26 January 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x09005819

zbMATH Keywords

contact manifoldDehn twistopen book decompositionReeb orbitpseudoholomorphic curvecylindrical contact homology

Mathematics Subject Classification ID

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

Cites Work

• The symplectic Floer homology of a Dehn twist
• Pseudo holomorphic curves in symplectic manifolds
• Coherent orientations for periodic orbit problems in symplectic geometry
• The Maslov index for paths
• Compactness results in symplectic field theory
• A compendium of pseudoholomorphic beasts in \({\mathbf R}\times (S^1\times S^2)\)
• An index inequality for embedded pseudoholomorphic curves in symplectizations
• Cylindrical contact homology of subcritical Stein-fillable contact manifolds
• Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
• Pseudoholomorphic punctured spheres in \(\mathbb R\times(S^1\times S^2)\): properties and existence
• The periodic Floer homology of a Dehn twist
• Morse theory for periodic solutions of hamiltonian systems and the maslov index

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