English

Parity criterion and Dehn twists for unstabilized Heegaard splittings

Geometric Topology 2015-05-13 v1

Abstract

We give a parity condition of a Heegaard diagram to show that it is unstabilized. This improves the result of [5]. As an application, we construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.

Keywords

Cite

@article{arxiv.0903.0454,
  title  = {Parity criterion and Dehn twists for unstabilized Heegaard splittings},
  author = {Jung Hoon Lee},
  journal= {arXiv preprint arXiv:0903.0454},
  year   = {2015}
}

Comments

10 pages, 6 figures