|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
A
new construction of CAT(0) cube complexes
Robert Kropholler and Federico Vigolo |
|
Algebraic & Geometric Topology 22 (2022) 3327–3375
|
Abstract |
|
We introduce the notion of coupled link cube complexes (CLCCs) as a means of constructing interesting cocompactly cubulated groups. CLCCs are defined locally, making them a useful tool when precise control over the links is required. We study some general properties of CLCCs, such as their (co)homological dimension and criteria for hyperbolicity. Some examples of fundamental groups of CLCCs are RAAGs, RACGs, surface groups and some manifold groups. As immediate applications of our criteria we produce a number of cubulated – and –manifolds with hyperbolic fundamental group. |
PDF Access Denied
We have not been able to recognize your IP address
3.22.249.158
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
CAT(0), cube complex, link, hyperbolic group, cohomological
dimension
|
Mathematical Subject Classification 2010
Primary: 20F65, 20F67, 20J05, 51M15, 57Q99
|
References |
Publication
Received: 9 January 2020
Revised: 26 February 2021
Accepted: 5 October 2021
Published: 30 January 2023
|
Authors |
| Robert Kropholler | |
| Mathematics Institute University of Warwick Coventry United Kingdom |
|
| Federico Vigolo | |
| Mathematisches Institut Universität Münster Münster Germany |
|
