Parallelisability of 3-manifolds via surgery
arXiv:1808.05072 · doi:10.1016/j.exmath.2018.10.006
Abstract
We present two proofs that all closed, orientable 3-manifolds are parallelisable. Both are based on the Lickorish-Wallace surgery presentation; one proof uses a refinement due to Kaplan and some basic contact geometry. This complements a recent paper by Benedetti-Lisca.
6 pages