Bayer-Fluckiger, Eva2025-01-302025-01-302025-01-302024-01-0110.4171/JEMS/1334https://infoscience.epfl.ch/handle/20.500.14299/245937WOS:001262387400005We give necessary and sufficient conditions for an integral polynomial without linear factors to be the characteristic polynomial of an isometry of some even, unimodular lattice of given signature. This gives rise to Hasse principle questions, which we answer in a more general setting. As an application, we prove a Hasse principle for signatures of knots.EnglishQuadratic formslatticesisometriessignatures of knotstext::journal::journal article::research article