Mapping class groups with the Rokhlin property
Geometric Topology
2024-03-11 v4 Dynamical Systems
Group Theory
Abstract
We classify the connected orientable 2-manifolds whose mapping class groups have a dense conjugacy class. We also show that the mapping class group of a connected orientable 2-manifold has a comeager conjugacy class if and only if the mapping class group is trivial.
Cite
@article{arxiv.2105.11280,
title = {Mapping class groups with the Rokhlin property},
author = {Justin Lanier and Nicholas G. Vlamis},
journal= {arXiv preprint arXiv:2105.11280},
year = {2024}
}
Comments
v4: Final version, incorporated referee's comments, to appear in Math. Z. v3: There was an error in the previous version's Lemma 6.1: this lemma has been removed and the statement of the main theorem, now Theorem 6.1, has been updated accordingly (see Remark 6.2 for more details). v2: Updated and corrected some wording; v1: 32 pages, 5 figures