The spine which was no spine

Details The spine which was no spine The spine which was no spine

2007-05-01

arxiv.org/abs/0705.0170v1

Mathematics

Geometric Topology

Scientific paper

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.

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