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arXiv · 1409.7934

Cocycle Rigidity and Splitting for some Discrete Parabolic Actions

Danijela Damjanovic·James Tanis
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Abstract

We prove trivialization of the first cohomology with coefficients in smooth vector fields, for a class of $\mathbb Z^2$ parabolic actions on $(SL(2, \mathbb R)\times SL(2, \mathbb R))/\Gamma$, where the lattice $\Gamma$ is irreducible and co-compact. We also obtain a splitting construction involving first and second coboundary operators in the cohomology with coefficients in smooth vector fields.

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Danijela Damjanovic, James Tanis. 2014-09-28. Cocycle Rigidity and Splitting for some Discrete Parabolic Actions. https://arxiv.org/abs/1409.7934

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