On the difficulty of finding spines

Autor: Lacoste, Cyril
Rok vydání: 2017
Předmět:
Zdroj: Comptes-rendus Mathematique 356 (2018) pp. 141-145
Druh dokumentu: Working Paper
Popis: 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 $\mathfrak{h}_g$.
Databáze: arXiv