The spine which was no spine
Geometric Topology
2007-05-23 v1
Abstract
Let T_n be the Teichmueller space of flat metrics on the n-dimensional torus and identify SL(n,Z) with the corresponding mapping class group. We prove that the subset Y consisting of those points at which the systoles generate the fundamental group of the torus is, for n > 4, not contractible. In particular, Y is not an SL(n,Z)-equivariant deformation retract of T_n.
Keywords
Cite
@article{arxiv.0705.0170,
title = {The spine which was no spine},
author = {Alexandra Pettet and Juan Souto},
journal= {arXiv preprint arXiv:0705.0170},
year = {2007}
}