Fixed Point Sets in Diagrammatically Reducible Complexes
Group Theory
2021-07-09 v2 Geometric Topology
Abstract
Let be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex with fine 1-skeleton. If the fixed point set is non-empty, then it is contractible. Having fine 1-skeleton is a weaker version of being locally finite.
Cite
@article{arxiv.2107.01254,
title = {Fixed Point Sets in Diagrammatically Reducible Complexes},
author = {Shivam Arora and Eduardo Martínez-Pedroza},
journal= {arXiv preprint arXiv:2107.01254},
year = {2021}
}
Comments
Version 2. Some minor typos were corrected