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

BENEDETTI R.
Co-primo
;
LISCA, PAOLO
In corso di stampa

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.
Benedetti, R.; Lisca, P.; Lisca, Paolo
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/934606
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact