"De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface"Maruhashi, HirokazuThe de Rham cohomology of a foliation is defined in the same way as the de Rham cohomology of a manifold, except that the tangent bundle of a manifold is replaced with the tangent bundle of a foliation. In this talk we explain the computation of the de Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface by giving certain 2-step Hodge decomposition. This talk is based on a joint work with Mitsunobu Tsutaya. |
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