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The Birkhoff-Grothendieck theorem

Published 17 Apr 2023 in math.DG and math.HO | (2304.08037v2)

Abstract: We give a historical presentation of the Grothendieck theorem on the splitting of vector bundles over the Riemann sphere, and explore some of its links with the Riemann-Hilbert-Birkhoff problems and the Birkhoff factorization theorem.

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