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Pré-Publication, Document De Travail Année : 2021

Algebraic vector bundles and $p$-local A^1-homotopy theory

Jean Fasel
Aravind Asok
  • Fonction : Auteur
Michael J. Hopkins
  • Fonction : Auteur

Résumé

We construct many``low rank" algebraic vector bundles on ``simple" smooth affine varieties of high dimension. In a related direction, we study the existence of polynomial representatives of elements in the classical (unstable) homotopy groups of spheres. Using techniques of A^1-homotopy theory, we are able to produce ``motivic" lifts of elements in classical homotopy groups of spheres; these lifts provide interesting polynomial maps of spheres and algebraic vector bundles.

Dates et versions

hal-03470542 , version 1 (08-12-2021)

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Citer

Jean Fasel, Aravind Asok, Michael J. Hopkins. Algebraic vector bundles and $p$-local A^1-homotopy theory. 2021. ⟨hal-03470542⟩

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