English

Distances and intersections of curves

Geometric Topology 2017-09-12 v1 Group Theory

Abstract

We obtain a coarse relationship between geometric intersection numbers of curves and the sum of their subsurface projection distances with explicit quasi-constants. By using this relationship, we give applications in the studies of the curve graphs and the mapping class groups.

Keywords

Cite

@article{arxiv.1709.03047,
  title  = {Distances and intersections of curves},
  author = {Yohsuke Watanabe},
  journal= {arXiv preprint arXiv:1709.03047},
  year   = {2017}
}
R2 v1 2026-06-22T21:38:08.601Z