A cyclotomic gluing construction for lattice sphere packings

Nihar Gargava, Matthias Gröbner, Michael Simkin

For a positive integer $d$, let ${\Delta }_d^L$ denote the supremum of the densities of lattice sphere packings in ${\mathbb{R}}^d$. We prove that, for every sufficiently large $d$, $Δ_d^L \g…