论文标题
2节和复杂性的阴影
Shadows of 2-knots and complexity
论文作者
论文摘要
我们基于Turaev Shadows的理论，以$ S^4 $的$ 2 $结（称为Shadow-complexity）引入了一个新的不变性，我们给出了最多$ 1 $的$ 2 $结的特征。具体来说，我们表明UN KNOT是唯一带有阴影复杂性$ 0 $的$ 2 $结，并且存在无限的许多$ 2 $ - 带有Shadow-Complexity $ 1 $的节点。
We introduce a new invariant for a $2$-knot in $S^4$, called the shadow-complexity, based on the theory of Turaev shadows, and we give a characterization of $2$-knots with shadow-complexity at most $1$. Specifically, we show that the unknot is the only $2$-knot with shadow-complexity $0$ and that there exist infinitely many $2$-knots with shadow-complexity $1$.
