Homeomorphism groups of 2-manifolds with the virtual Rokhlin property
Geometric Topology
2024-06-25 v3 Dynamical Systems
Group Theory
Abstract
We introduce and motivate the definition of the virtual Rokhlin property for topological groups. We then classify the 2-manifolds whose homeomorphism groups have the virtual Rokhlin property. We also establish the analogous result for mapping class groups of 2-manifolds.
Keywords
Cite
@article{arxiv.2308.13138,
title = {Homeomorphism groups of 2-manifolds with the virtual Rokhlin property},
author = {Justin Lanier and Nicholas G. Vlamis},
journal= {arXiv preprint arXiv:2308.13138},
year = {2024}
}
Comments
v3: Incorporated referee's comments, the article has been accepted for publication by the Journal of Topology. v2: Updated discussion in the introduction under geometric consequences; 25 pages, 3 figures