Contractibility of deformation spaces of G-trees

Clay, Matt

doi:10.2140/agt.2005.5.1481

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Contractibility of deformation spaces of G-trees

Matt Clay

Algebraic & Geometric Topology 5 (2005) 1481–1503

DOI: 10.2140/agt.2005.5.1481

arXiv: math.GR/0511615

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.

Keywords

$G$–tree, deformation space, Outer space

Mathematical Subject Classification 2000

Primary: 20E08

Secondary: 20F65, 20F28

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Publication

Received: 19 November 2004

Accepted: 20 October 2005

Published: 1 November 2005

Authors

Matt Clay
Department of Mathematics University of Utah Salt Lake City UT 84112-0090 USA

Volume 5, issue 4 (2005)