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Comptes Rendus de l'Academie des Sciences. Série 1, Matématiques 301, série I, 18 (1985) 833-836
Sur la forme bilinéaire associée à un réseau ferroviaire
Athanase Papadopoulos 1
(1985)

This note concerns Thurston's bilinear product associated to a train track on a surface, which is at the basis of Thurston's symplectic bilinear form on measured foliation space. We give an alternative definition of Thurston's product as a product of measures, and in the case of oriented train tracks, we give an interpretation of this product in terms of the cohomology classes associated to weighted oriented train tracks.
1:  Institut de Recherche Mathématique Avancée (IRMA)
CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
Mathematics/Geometric Topology
train track – réseau ferroviaire – measured foliation – feuilletage mesuré – Thurston's symplectic form – forme smplectique de Thurston – surface.