English

An upper bound on distance degenerate handle additions

Geometric Topology 2017-07-18 v1

Abstract

We prove that for any distance at least 3 Heegaard splitting and a boundary component FF, there is a diameter finite ball in the curve complex C(F)\mathcal {C}(F) so that it contains all distance degenerate curves or slopes in FF.

Keywords

Cite

@article{arxiv.1707.05053,
  title  = {An upper bound on distance degenerate handle additions},
  author = {Yanqing Zou},
  journal= {arXiv preprint arXiv:1707.05053},
  year   = {2017}
}

Comments

8figures

R2 v1 2026-06-22T20:48:43.165Z