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arXiv · 2103.06661

Computation of some leafwise cohomology ring

Shota Mori
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Abstract

Let $G$ be the group $SL(2,\mathbb{R})$, $P\subset G$ be the parabolic subgroup of upper triangular matrices and $\Gamma\subset G$ be a cocompact lattice. A right action of $P$ on $\Gamma\backslash G$ defines an orbit foliation $\mathcal{F}_P$. We compute the leafwise cohomology ring $H^*(\mathcal{F}_P)$ by exploiting non-abelian harmonic analysis on $G$.

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Shota Mori. 2021-03-11. Computation of some leafwise cohomology ring. https://arxiv.org/abs/2103.06661

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