论文标题
Dehn手术和非分离的两球
Dehn surgery and non-separating two-spheres
论文作者
论文摘要
在理性同源性球体中,何时可以在无原样结K上进行手术?我们使用Heegaard Floer同源性提供足够的条件,使K无法打结。我们还讨论了与同源性恢复,一致性和Mazur歧管的一些应用。
When can surgery on a null-homologous knot K in a rational homology sphere produce a non-separating sphere? We use Heegaard Floer homology to give sufficient conditions for K to be unknotted. We also discuss some applications to homology cobordism, concordance, and Mazur manifolds.