论文标题
软木
Minimal genus relative trisections of corks
论文作者
论文摘要
在本文中，我们证明了Akbulut软木塞的Trisection属为$ 3 $，并以无限的软木塞构建了Trisection属$ 3 $。这些结果给出了第一个订单的$ 4 $ manifolds的示例，其转移属是确定的，除了$ 4 $ -BALL。我们还为带边界的$ 4 $ manifold的Trisection Genus提供了下限。此外，我们构建了一对简单连接的$ 4 $ - manifolds的低属相对三角图，$ b_2 = 1 $。
In this paper, we prove that the trisection genus of the Akbulut cork is $3$ and construct infinitely many corks with trisection genus $3$. These results give the first examples of contractible $4$-manifolds whose trisection genera are determined except for the $4$-ball. We also give a lower bound for the trisection genus of a $4$-manifold with boundary. In addition, we construct low genus relative trisection diagrams of an exotic pair of simply-connected $4$-manifolds with $b_2 = 1$.
