After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give three proofs using minimal background. In particular, our proofs do not rely on spin structures, the theory of Stiefel-Whitney classes, nor the Lickorish-Wallace theorem.

Framing 3-manifolds with bare hands

LISCA Paolo
2018-01-01

Abstract

After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give three proofs using minimal background. In particular, our proofs do not rely on spin structures, the theory of Stiefel-Whitney classes, nor the Lickorish-Wallace theorem.
2018
Benedetti, Riccardo; Lisca, Paolo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/934606
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