Dehn-Thurston coordinates for curves on surfaces

Feng Luo, Richard Stong

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We prove that the geometric intersection numbers between two proper 1-dimensional submanifolda satisfy a Cauchy type inequality expressed in terms of the Dehn-Thurston coordinate. As an application, we reestablish the fundamental results in the theory of measured laminations on surfaces.

Original languageEnglish (US)
Pages (from-to)1-41
Number of pages41
JournalCommunications in Analysis and Geometry
Volume12
Issue number1-2
DOIs
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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