Torsion and Open Book Decompositions

DOI10.1093/imrn/rnq054zbMath1213.57028arXiv0909.3465OpenAlexW2125972009MaRDI QIDQ3067807

David Shea Vela-Vick, John B. Etnyre

Publication date: 13 January 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3465

zbMATH Keywords

contact geometryconvex surfaceopen bookGiroux torsionsutured Floer homology

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Floer homology (57R58)

Related Items (13)

Instanton Floer homology and contact structures ⋮ On knots in overtwisted contact structures ⋮ A hierarchy of local symplectic filling obstructions for contact 3-manifolds ⋮ Homological invariants of codimension 2 contact submanifolds ⋮ Transverse links, open books, and overtwisted manifolds ⋮ Monopole Floer homology and Legendrian knots ⋮ Tight contact structures via admissible transverse surgery ⋮ Open books and exact symplectic cobordisms ⋮ Some tight contact foliations can be approximated by overtwisted ones ⋮ Classification of tight contact structures on surgeries on the figure-eight knot ⋮ Quasi-right-veering braids and nonloose links ⋮ Nonlooseness of nonloose knots ⋮ Sutured Floer homology and invariants of Legendrian and transverse knots

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