论文标题

4个manifolds和稳定中的外来Codimension-1子序列

Exotic codimension-1 submanifolds in 4-manifolds and stabilizations

论文作者

Konno, Hokuto, Mukherjee, Anubhav, Taniguchi, Masaki

论文摘要

在一个小的简单连接的封闭的4个manifold中,我们构建了无限的许多异国情调的复合 - $ 1 $ submanifolds,具有差异补充,在任何数量的稳定稳定后,$ s^2 \ times s^2 $都保持异国情调。我们还提供了具有差异互补的4个manifolds中3个spheres的外来嵌入的新结构。

In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension-$1$ submanifolds with diffeomorphic complements that remain exotic after any number of stabilizations by $ S^2 \times S^2$. We also give new constructions of exotic embeddings of 3-spheres in 4-manifolds with diffeomorphic complements.

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