TY - JOUR
T1 - On normalizations of Thurston measure on the space of measured laminations
AU - Monin, Leonid
AU - Telpukhovskiy, Vanya
PY - 2019/11/1
Y1 - 2019/11/1
N2 - 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.
AB - 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.
KW - Measured laminations
KW - Teichmüller space
KW - Thurston measure
UR - http://www.scopus.com/inward/record.url?scp=85072263726&partnerID=8YFLogxK
U2 - 10.1016/j.topol.2019.106878
DO - 10.1016/j.topol.2019.106878
M3 - Article (Academic Journal)
AN - SCOPUS:85072263726
SN - 0166-8641
VL - 267
JO - Topology and its Applications
JF - Topology and its Applications
M1 - 106878
ER -