vix.ing · top · new · best · stats · spec

Transversal local rigidity of discrete Abelian actions on Heisenberg nilmanifolds

2020/02/29 by Danijela Damjanović, Danijela Damjanovic, Damjanovic, Danijela +2
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.2003.00338

39 pages

arxiv created 2020/02/29 · arxiv updated 2020/03/03

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.

Related