English

Contact structures and geometric topology

Symplectic Geometry 2011-12-22 v1 Geometric Topology

Abstract

This is a survey on contact open books and contact Dehn surgery. The relation between these two concepts is discussed, and various applications are sketched, e.g. the monodromy of Stein fillable contact 3-manifolds, the Giroux-Goodman proof of Harer's conjecture on fibred links, construction of symplectic caps to fillings (Eliashberg, Etnyre), and detection of non-loose Legendrian knots with the help of contact surgery.

Keywords

Cite

@article{arxiv.1004.3172,
  title  = {Contact structures and geometric topology},
  author = {Hansjörg Geiges},
  journal= {arXiv preprint arXiv:1004.3172},
  year   = {2011}
}

Comments

23 pages, 9 figures

R2 v1 2026-06-21T15:11:58.767Z