English

Right-veering diffeomorphisms of compact surfaces with boundary I

Geometric Topology 2007-05-23 v1

Abstract

We initiate the study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary. The monoid strictly contains the monoid of products of positive Dehn twists. We explain the relationship to tight contact structures and open book decompositions.

Keywords

Cite

@article{arxiv.math/0510639,
  title  = {Right-veering diffeomorphisms of compact surfaces with boundary I},
  author = {Ko Honda and William H. Kazez and Gordana Matic},
  journal= {arXiv preprint arXiv:math/0510639},
  year   = {2007}
}

Comments

19 pages, 7 figures

R2 v1 2026-07-22T17:26:38.627Z