Group actions on injective spaces and Helly graphs
Group Theory
2023-09-06 v2 Geometric Topology
Metric Geometry
Abstract
These are lecture notes for a minicourse on group actions on injective spaces and Helly graphs, given at the CRM Montreal in June 2023. We review the basics of injective metric spaces and Helly graphs, emphasizing the parallel between the two theories. We also describe various elementary properties of groups actions on such spaces. We present several constructions of injective metric spaces and Helly graphs with interesting actions of many groups of geometric nature. We also list a few exercises and open questions at the end.
Keywords
Cite
@article{arxiv.2307.00414,
title = {Group actions on injective spaces and Helly graphs},
author = {Thomas Haettel},
journal= {arXiv preprint arXiv:2307.00414},
year = {2023}
}
Comments
Comments are welcome! v2: some references added