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arXiv · 2604.12541

Exotic Hopf maps, weight shifting and applications to vector bundles

Jean Fasel·William Hornslien
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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.

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Jean Fasel, William Hornslien. 2026-04-14. Exotic Hopf maps, weight shifting and applications to vector bundles. https://arxiv.org/abs/2604.12541

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