Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi

TL;DR
This paper constructs infinitely many exotic codimension-1 submanifold pairs in 4-manifolds with diffeomorphic complements that stay exotic after stabilization, and introduces new exotic 3-sphere embeddings with diffeomorphic complements.
Contribution
It provides new examples of exotic submanifolds and embeddings in 4-manifolds with stable complements, advancing understanding of exotic phenomena in 4-dimensional topology.
Findings
Existence of infinitely many exotic codimension-1 submanifold pairs with stable exotic complements
New constructions of exotic 3-sphere embeddings in 4-manifolds
Exotic features persist under stabilization by S^2 × S^2
Abstract
In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension- submanifolds with diffeomorphic complements that remain exotic after any number of stabilizations by . We also give new constructions of exotic embeddings of 3-spheres in 4-manifolds with diffeomorphic complements.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals
