论文标题
零手术的特征是无限的许多结
Zero-surgery characterizes infinitely many knots
论文作者
论文摘要
我们证明，0是无限多个结的特征，即属1结的属，其结式浮点同源性在顶级亚历山大分级中是二维的，我们在最近的工作中对此进行了分类，其中包括所有$（-3,3,2n+1）$ prentzel结。以前仅以$ 5_2 $及其镜子而闻名，作为该分类的推论，以及1987年Gabai的Unnonkot，Trefoils和Tigure 8。
We prove that 0 is a characterizing slope for infinitely many knots, namely the genus-1 knots whose knot Floer homology is 2-dimensional in the top Alexander grading, which we classified in recent work and which include all $(-3,3,2n+1)$ pretzel knots. This was previously only known for $5_2$ and its mirror, as a corollary of that classification, and for the unknot, trefoils, and the figure eight by work of Gabai from 1987.
