论文标题
关于切片圆环不变的值
On the values taken by slice torus invariants
论文作者
论文摘要
我们研究了切片不变的空间。特别是，我们表征了切片不变的值可能会根据稳定的平滑切片属而进行的一组值。我们的研究表明，局部汤姆的猜想的解决意味着薄片的存在不变性，而无需诉诸于结的同源性理论的任何明确结构。
We study the space of slice-torus invariants. In particular we characterize the set of values that slice-torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conjecture implies the existence of slice torus invariants without having to appeal to any explicit construction from a knot homology theory.
