2 citations · 2 across the 2 of their papers we have counts for
5 papers
Associativity and Thompson's Group
Ross Geoghegan, Fernando Guzman
Given a set S equipped with a binary operation (we call this a "bracket algebra") one may ask to what extent the binary operation satisfies some of the consequences of the associat…
Cocompact Proper CAT(0) Spaces
Ross Geoghegan, Pedro Ontaneda
This paper is about geometric and topological properties of a proper CAT(0) space which is cocompact - i.e. which has a compact generating domain with respect to the full isome…
Connectivity properties of group actions on non-positively curved spaces II: The geometric invariants
Robert Bieri, Ross Geoghegan
This is the second of two papers but has been written so as to have minimal dependence on the first paper (which is also on this archive). Let G be a group and let M be a CAT(0) pr…
Connectivity properties of group actions on non-positively curved spaces I: Controlled connectivity and openness results
Robert Bieri, Ross Geoghegan
Let G be a group and let M be a CAT(0) proper metric space (e.g. a simply connected complete Riemannian manifold of non-positive sectional curvature or a locally finite tree). Isom…
A Hochschild homology Euler characteristic for circle actions
Ross Geoghegan, Andrew Nicas
We define a "circle Euler characteristic" of a circle action on a compact manifold or finite complex X. It lies in the first Hochschild homology group of ZG where G is the fundamen…