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

Published 7 Aug 2020 in math.AG, math.AT, and math.KT | (2008.03363v3)

Abstract: Using techniques of A^1-homotopy theory, we produce motivic lifts of elements in classical homotopy groups of spheres; these lifts provide polynomial maps of spheres and allow us to construct low rank'' algebraic vector bundles onsimple'' smooth affine varieties of high dimension.

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