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Publication - Mr Leonid Monin

    On normalizations of Thurston measure on the space of measured laminations

    Citation

    Monin, L & Telpukhovskiy, V, 2019, ‘On normalizations of Thurston measure on the space of measured laminations’. Topology and its Applications, vol 267.

    Abstract

    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.

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