Limit groups are CAT(0)
arXiv:math/0410198 · doi:10.1112/S0024610706023155
Abstract
We prove that every limit group acts geometrically on a CAT(0) space with the isolated flats property.
The statement of Main theorem is improved, and the proof is changed accordingly. Minor changes to exposition
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- Finiteness properties of cubulated groups
- Finitely presented residually free groups
- Isoperimetric functions for subdirect products and Bestvina-Brady groups
- Quasi-isometry rigidity of groups
- K- and L-theory of group rings
- Endomorphisms of relatively hyperbolic groups
- Survey on geometric group theory
- Nielsen Realisation by Gluing: Limit Groups and Free Products
- Subgroups of direct products of limit groups
- A gluing theorem for negatively curved complexes
- Group Actions on Real Cubings and Limit Groups over Partially Commutative Groups
- Normal subgroups of limit groups of prime index
- A note on the Farrell-Jones conjecture for relatively hyperbolic groups