Framings and Projective Framings for 3-Manifolds

Details Framings and Projective Framings for 3-Manifolds Framings and Projective Framings for 3-Manifolds

2003-12-16

arxiv.org/abs/math/0312311v1

Mathematics

Geometric Topology

Scientific paper

We give an elementary proof of the fact that any orientable 3-manifold admits
a framing (i.e. is parallelizable) and any non-orientable 3-manifold admits a
projective framing. The proof uses only basic facts about immersions of
surfaces in 3-space.

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