Non-Uniform Lattices of Large Systole Containing a Fixed 3-Manifold
Group
Non-Uniform Lattices of Large Systole Containing a Fixed 3-Manifold
Group
Let $d$ be a square free positive integer and $\mathbb{Q}(\sqrt{d})$ a totally real quadratic field over $\mathbb{Q}$. We show there exists an arithmetic lattice L in $SL(8,\mathbb{R})$ with entries in the ring of integers of $\mathbb{Q}(\sqrt{d})$ and a sequence of lattices $\Gamma_n $ commensurable to L such that the systole …