Displacement techniques in bounded cohomology
Abstract Several algebraic criteria, reflecting displacement properties of transformation groups, have been used in the past years to prove vanishing of bounded cohomology and stable commutator length. Recently, the authors introduced the property of commuting cyclic conjugates , a new displacement technique that is widely applicable and provides vanishing of the bounded cohomology in all positive degrees and all dual separable coefficients. In this note we consider the most recent along with the by now classical displacement techniques and we study implications among them as well as counterexamples.
Authors
- Caterina Campagnolo (ORCID: https://orcid.org/0000-0001-7481-104X)
- Yash Lodha (ORCID: https://orcid.org/0000-0003-1262-5502)
- Francesco Fournier-Facio (ORCID: https://orcid.org/0000-0003-0386-2071)
- Marco Moraschini (ORCID: https://orcid.org/0000-0003-2692-6584)
Institutions
- University of Hawaiʻi at Mānoa (US)
- University of Cambridge (GB)
- Universidad Autónoma de Madrid (ES)
- University of Bologna (IT)
Publication Details
- Journal
- manuscripta mathematica
- Published
- 2025-02-18
- DOI
- https://doi.org/10.1007/s00229-024-01604-9
- Citations
- 2
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 7.38
Funders
- National Science Foundation
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Instituto de Ciencias Matemáticas
- Comunidad de Madrid
- European Commission
- Eidgenössische Technische Hochschule Zürich
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni