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- W3104271336 abstract "We determine the first non-stable ${mathbb A}^1$-homotopy sheaf of $SL_n$. Using techniques of obstruction theory involving the ${mathbb A}^1$-Postnikov tower, supported by some ideas from the theory of unimodular rows, we classify vector bundles of rank $geq d-1$ on split smooth affine quadrics of dimension $2d-1$. These computations allow us to answer a question posed by Nori, which gives a criterion for completability of certain unimodular rows. Furthermore, we study compatibility of our computations of ${mathbb A}^1$-homotopy sheaves with real and complex realization." @default.
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- W3104271336 date "2014-02-03" @default.
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- W3104271336 title "Algebraic vector bundles on spheres" @default.
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- W3104271336 doi "https://doi.org/10.1112/jtopol/jtt046" @default.
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