On normalizations of Thurston measure on the space of measured laminations

Leonid Monin*, Vanya Telpukhovskiy

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)


The space of measured laminations ML(Σ) associated to a topological surface Σ of genus g with n punctures is an integral piecewise linear manifold of real dimension 6g−6+2n. There is also a natural symplectic structure on ML(Σ) defined by Thurston. The integral and symplectic structures define a pair of measures on ML(Σ) which are known to be proportional. The projective class of these measures on ML(Σ) is called the Thurston measure. In this note we compute the ratio between two normalizations of the Thurston measure.

Original languageEnglish
Article number106878
Number of pages12
JournalTopology and its Applications
Early online date10 Sep 2019
Publication statusPublished - 1 Nov 2019


  • Measured laminations
  • Teichmüller space
  • Thurston measure

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