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.File in questo prodotto:
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