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arXiv · 1707.03181

On the difficulty of finding spines

Cyril Lacoste
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Abstract

We prove that the set of symplectic lattices in the Siegel space $\mathfrak{h}_g$ whose systoles generate a subspace of dimension at least 3 in $\mathbb{R}^{2g}$ does not contain any $\mathrm{Sp}(2g,\mathbb{Z})$-equivariant deformation retract of $\mathfrak{h}_g$.

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Cyril Lacoste. 2017-07-11. On the difficulty of finding spines. https://arxiv.org/abs/1707.03181

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