Exotic codimension-1 submanifolds in 4-manifolds and stabilizations

2022/10/10 by Konno, Hokuto, Mukherjee, Anubhav, Taniguchi, Masaki
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2210.05029

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 S² × S². We also give new constructions of exotic embeddings of 3-spheres in 4-manifolds with diffeomorphic complements.

Related

• From diffeomorphisms to exotic phenomena in small 4-manifolds
• Diffeomorphisms of 4-manifolds with boundary and exotic embeddings
• One stabilization is not enough for contractible 4-manifolds
• Small Exotic 4-manifolds with b₂⁺=3
• Stably exotic 4-manifolds