On Stiefel's parallelizability of 3-manifolds

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Abstract

We give a new elementary proof of the parallelizability of closed orientable 3-manifolds. We use as the main tool the fact that any such manifold admits a Heegaard splitting.

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Bais, V., & Zuddas, D. (2023). On Stiefel’s parallelizability of 3-manifolds. Expositiones Mathematicae, 41(1), 238–243. https://doi.org/10.1016/j.exmath.2023.01.001

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