On Stiefel's parallelizability of 3-manifolds

2022/07/26 by Bais, Valentina, Zuddas, Daniele
#57R15 #57R22 (Secondary) #57R25 (Primary) 57K35 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2207.12881

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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