Exotic codimension-1 submanifolds in 4-manifolds and stabilizations

Hokuto Konno; Anubhav Mukherjee; Masaki Taniguchi

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arXiv · 2210.05029

Exotic codimension-1 submanifolds in 4-manifolds and stabilizations

Hokuto Konno·Anubhav Mukherjee·Masaki Taniguchi

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Abstract

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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Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi. 2022-10-10. Exotic codimension-1 submanifolds in 4-manifolds and stabilizations. https://arxiv.org/abs/2210.05029

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