English

Products of Positive Dehn-twists on Surfaces

Geometric Topology 2007-05-23 v1 Symplectic Geometry

Abstract

Given a 3-holed sphere decomposition of an orientable closed surface, it is shown that each orientation preserving homeomorphism of the surface is isotopic to a composition AB where A is a product of positive Dehn twists and B is a product of negative Dehn twists on the decomposition curves.

Keywords

Cite

@article{arxiv.math/9905139,
  title  = {Products of Positive Dehn-twists on Surfaces},
  author = {Feng Luo},
  journal= {arXiv preprint arXiv:math/9905139},
  year   = {2007}
}