Spectra of lens spaces from 1-norm spectra of congruence lattices

Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti

To every $n$-dimensional lens space $L$, we associate a congruence lattice $\mathcal{L}$ in ${\mathbb{Z}}^m$, with $n=2m-1$ and we prove a formula relating the multiplicities of Hodge-…