论文标题
大型4天的两栖结
Amphichiral knots with large 4-genus
论文作者
论文摘要
对于每个$ g> 0 $，我们给出了无限的许多结，这些结的强烈负极性，因此合理地切片并代表平滑的一致性组中的2个扭曲，但是它们在4球中没有任何本地嵌入的表面与属的任何本地嵌入的表面绑定，而属属则小于或等于$ g $。我们的示例还使我们能够回答有关4维扣环数的问题。
For each $g>0$ we give infinitely many knots that are strongly negative amphichiral, hence rationally slice and representing 2-torsion in the smooth concordance group, yet which do not bound any locally flatly embedded surface in the 4-ball with genus less than or equal to $g$. Our examples also allow us to answer a question about the 4-dimensional clasp number of knots.
