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Parallelisability of 3-manifolds via surgery
Expositiones Mathematicae ( IF 0.8 ) Pub Date : 2019-02-14 , DOI: 10.1016/j.exmath.2018.10.006 Sebastian Durst , Hansjörg Geiges , Jesús Gonzalo Pérez , Marc Kegel
中文翻译:
通过手术实现三歧管的平行性
更新日期:2019-02-14
Expositiones Mathematicae ( IF 0.8 ) Pub Date : 2019-02-14 , DOI: 10.1016/j.exmath.2018.10.006 Sebastian Durst , Hansjörg Geiges , Jesús Gonzalo Pérez , Marc Kegel
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 of this presentation due to Kaplan and some basic contact geometry. This complements a recent paper by Benedetti–Lisca.
中文翻译:
通过手术实现三歧管的平行性
我们提供了两个证明,所有封闭的,可定向的3个流形都是可平行的。两者都是基于Lickorish-Wallace的手术方法。由于卡普兰(Kaplan)和一些基本的接触几何形状,一个证明对本演示进行了改进。这是对Benedetti–Lisca最近发表的论文的补充。