no. 4
PL representations of Anosov foliations
Annales de l'Institut Fourier, Tome 42 (1992) no. 4, pp. 937-965.

En choisissant une certaine section de Birkhoff pour le flot géodésique d’une surface compacte à courbure négative, E. Ghys a montré que le feuilletage instable du flot géodésique admet une structure transversalement affine par morceaux. Nous explicitons l’holonomie globale induite par cette structure transversalement affine par morceaux et calculons son invariant de Godbillon-Vey discret.

By choosing certain Birkhoff’s section to the geodesic flow of a negatively curved closed surface, E. Ghys showed that the unstable foliation of the geodesic flow has a transversely piecewise linear structure. We explicitly describe the holonomy homomorphism induced by this transversely piecewise linear structure and calculate its discrete Godbillon-Vey invariant.

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     title = {$PL$ representations of {Anosov} foliations},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {42},
     number = {4},
     year = {1992},
     doi = {10.5802/aif.1316},
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     zbl = {0759.57018},
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Hashiguchi, N. $PL$ representations of Anosov foliations. Annales de l'Institut Fourier, Tome 42 (1992) no. 4, pp. 937-965. doi : 10.5802/aif.1316. http://archive.numdam.org/articles/10.5802/aif.1316/

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