Volume 12, issue 3 (2008)

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Minimality of the well-rounded retract

Alexandra Pettet and Juan Souto

Geometry & Topology 12 (2008) 1543–1556

DOI: 10.2140/gt.2008.12.1543

Abstract

We prove that the well-rounded retract of SOn-SLnR is a minimal SLnZ–invariant spine.

Keywords

well-rounded retract, symmetric space, systole, deformation retract, lattice

Mathematical Subject Classification

Primary: 20F65

Secondary: 11F75, 12G10, 53C35

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

References
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