Exotic Hopf maps, weight shifting and applications to vector bundles
Algebraic Geometry
2026-04-15 v1 K-Theory and Homology
Abstract
Using motivic homotopy theory we produce several explicit polynomial representatives of the suspension of the Hopf map defined over the integers. We derive from this computation an explicit rank 2 vector bundle on the Jouanolou device of the projective space of dimension 3 over the integers.
Cite
@article{arxiv.2604.12541,
title = {Exotic Hopf maps, weight shifting and applications to vector bundles},
author = {Jean Fasel and William Hornslien},
journal= {arXiv preprint arXiv:2604.12541},
year = {2026}
}
Comments
29 pages. Comments welcome!