The spine which was no spine

Alexandra Pettet; Juan Souto

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arXiv · 0705.0170

The spine which was no spine

Alexandra Pettet·Juan Souto

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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.

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BibTeX RIS

Alexandra Pettet, Juan Souto. 2007-05-01. The spine which was no spine. https://arxiv.org/abs/0705.0170

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