Contractibility of deformation spaces of G-trees

Abstract

Forester has defined spaces of simplicial tree actions for a finitely generated group, called deformation spaces. Culler and Vogtmann's Outer space is an example of a deformation space. Using ideas from Skora's proof of the contractibility of Outer space, we show that under some mild hypotheses deformation spaces are contractible.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-59.abs.html

References in corpus (1)

• Deformation and rigidity of simplicial group actions on trees

Cited by in corpus (4)

• On the automorphism group of generalized Baumslag-Solitar groups
• Trees of cylinders and canonical splittings
• The Lipschitz metric on deformation spaces of $G$-trees
• Homotopy type of the complex of free factors of a free group