The curve complex and covers via hyperbolic 3-manifolds

Robert Tang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.

Original languageEnglish
Pages (from-to)233-237
Number of pages5
JournalGeometriae Dedicata
Issue number1
Publication statusPublished - Dec 2012
Externally publishedYes


  • Covering spaces
  • Curve complex
  • Hyperbolic 3-manifolds
  • Quasi-isometric embedding


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