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Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
The MITRE Corporation, McLean, VA 22102, USA.
2022 (English)In: Ergodic Theory and Dynamical Systems, ISSN 0143-3857, E-ISSN 1469-4417, Vol. 42, no 10, p. 3111-3151Article in journal (Refereed) Published
Abstract [en]

In this paper we prove a perturbative result for a class of actions on Heisenberg nilmanifolds that 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.
Place, publisher, year, edition, pages
Cambridge University Press (CUP) , 2022. Vol. 42, no 10, p. 3111-3151
Keywords [en]
abelian actions, Heisenberg nilmanifolds, local rigity
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-311191DOI: 10.1017/etds.2021.79ISI: 000767138600001Scopus ID: 2-s2.0-85111991330OAI: oai:DiVA.org:kth-311191DiVA, id: diva2:1654471
Note

QC 20250321

Available from: 2022-04-27 Created: 2022-04-27 Last updated: 2025-03-21Bibliographically approved

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Damjanović, Danijela

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