Mazur manifolds and corks with small shadow complexities
Mazur manifolds and corks with small shadow complexities
复制标题
DOI：
10.18910/70083
复制
发表时间：
2015-05
期刊：
影响因子：
--
通讯作者：
Hironobu Naoe
中科院分区：
文献类型：
--
作者：
Hironobu Naoe
本文利用图拉耶夫影子的概念，在具有一个真顶点的可压缩特殊多面体构成的四维流形中，发现了无穷多个具有影子复杂性的Mazur型流形和软木塞。我们也在由Bing‘s house构造的4-流形中发现了这样的流形。我们的影子复杂性为1的流形包含Akbuut和Kirby研究过的Mazur流形$W^{\pm}(L，k)$。
In this paper we find infinitely many Mazur type manifolds and corks with shadow complexity one among the 4-manifolds constructed from contractible special polyhedra having one true vertex by using the notion of Turaev's shadow. We also find such manifolds among 4-manifolds constructed from Bing's house. Our manifolds with shadow complexity one contain the Mazur manifolds $W^{\pm }(l,k)$ which were studied by Akbulut and Kirby.