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Transversal local rigidity of discrete Abelian actions on Heisenberg nilmanifolds (2003.00338v1)
Published 29 Feb 2020 in math.DS
Abstract: In this paper we prove a perturbative result for a class of $\mathbb Z2$ actions on Heisenberg nilmanifolds, which have Diophantine properties. Along the way we prove cohomological rigidity and obtain a tame splitting for the cohomology with coefficients in smooth vector fields for such actions.
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