English

Torsion and Open Book Decompositions

Symplectic Geometry 2009-09-21 v1 Geometric Topology

Abstract

We show that if (B,\pi) is an open book decomposition of a contact 3-manifold (Y,\xi), 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.

Cite

@article{arxiv.0909.3465,
  title  = {Torsion and Open Book Decompositions},
  author = {John B. Etnyre and David Shea Vela-Vick},
  journal= {arXiv preprint arXiv:0909.3465},
  year   = {2009}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-21T13:48:02.359Z