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.
Publié le : 1985-07-05
Classification:
train track,
réseau ferroviaire,
measured foliation,
feuilletage mesuré,
Thurston's symplectic form,
forme smplectique de Thurston,
surface,
surface.,
57M50 ; 57R30,
[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
@article{hal-00310436,
author = {Papadopoulos, Athanase},
title = {Sur la forme bilin\'eaire associ\'ee \`a un r\'eseau ferroviaire},
journal = {HAL},
volume = {1985},
number = {0},
year = {1985},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00310436}
}
Papadopoulos, Athanase. Sur la forme bilinéaire associée à un réseau ferroviaire. HAL, Tome 1985 (1985) no. 0, . http://gdmltest.u-ga.fr/item/hal-00310436/