Volume 12, issue 3 (2008)

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ISSN (electronic): 1364-0380
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Minimality of the well-rounded retract

Alexandra Pettet and Juan Souto

Geometry & Topology 12 (2008) 1543–1556
Abstract

We prove that the well-rounded retract of SOnSLn is a minimal SLn–invariant spine.

Keywords
well-rounded retract, symmetric space, systole, deformation retract, lattice
Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 12G10, 53C35, 11F75
References
Publication
Received: 1 December 2007
Revised: 18 April 2008
Accepted: 27 April 2008
Published: 10 June 2008
Proposed: Benson Farb
Seconded: Walter Neumann, Martin Bridson
Authors
Alexandra Pettet
Department of Mathematics
Stanford University
Stanford
California 94305
USA
Juan Souto
Department of Mathematics
University of Michigan
Ann Arbor
Michigan 48109
USA