Equivariant Morse theory on Vietoris-Rips complexes & universal spaces for proper actions
Geometric Topology
2022-01-13 v2 Algebraic Topology
Group Theory
Abstract
We formalize an equivariant version of Bestvina-Brady discrete Morse theory, and apply it to Vietoris-Rips complexes in order to exhibit finite universal spaces for proper actions for all asymptotically CAT(0) groups.
Cite
@article{arxiv.1909.04487,
title = {Equivariant Morse theory on Vietoris-Rips complexes & universal spaces for proper actions},
author = {Marco Varisco and Matthew C. B. Zaremsky},
journal= {arXiv preprint arXiv:1909.04487},
year = {2022}
}
Comments
Final revision, to appear in Bulletin of the London Mathematical Society. Minor changes, correcting some inconsequential mistakes and improving the exposition, based on a thorough referee report. 18 pages