Exotic Hopf maps, weight shifting and applications to vector bundles

Published 14 Apr 2026 in math.AG and math.KT | (2604.12541v1)

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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