论文标题
关于理性切结的注释
A note on rationally slice knots
论文作者
论文摘要
川奇证明，每个强烈的两极结节$ k \ subset s^3 $都在某些理性同源球$ v_k $中限制了平稳嵌入的磁盘，其构造的先验构造取决于$ k $。我们表明，$ v_k $独立于$ k $，而差异为差异。因此，一个4个manifold以及其连接的总和是所有已知的结的示例，这些示例是理性切片但不切片的。
Kawauchi proved that every strongly negative amphichiral knot $K \subset S^3$ bounds a smoothly embedded disk in some rational homology ball $V_K$, whose construction a priori depends on $K$. We show that $V_K$ is independent of $K$ up to diffeomorphism. Thus, a single 4-manifold, along with connected sums thereof, accounts for all known examples of knots that are rationally slice but not slice.
