2009/09/18 by John B. Etnyre, Etnyre, John B., David Shea Vela–Vick +2
Computer Science · Mathematics · #57M27 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Logic, programming, and type systems #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:57M27 #msc:57R58 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0909.3465
10 pages, 5 figures
arxiv created 2009/09/18 · openalex publication_date 2009/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that if (B,π) is an open book decomposition of a contact 3-manifold (Y,ξ), then the complement of the binding B has no Giroux torsion. We also prove the sutured Heegaard-Floer c-bar invariant of the binding of an open book is non-zero.