One stabilization is not enough for contractible 4-manifolds

Sungkyung Kang

One stabilization is not enough for contractible 4-manifolds

Geometric Topology 2024-09-18 v3

Authors: Sungkyung Kang

Abstract

We construct an example of a cork that remains exotic after taking a connected sum with $S^2 \times S^2$ . Combined with a work of Akbulut-Ruberman, this implies the existence of an exotic pair of contractible 4-manifolds which remains absolutely exotic after taking a connected sum with $S^2 \times S^2$ .

Keywords

exotic manifolds

Cite

@article{arxiv.2210.07510,
  title  = {One stabilization is not enough for contractible 4-manifolds},
  author = {Sungkyung Kang},
  journal= {arXiv preprint arXiv:2210.07510},
  year   = {2024}
}

Comments

22 pages, comments welcome! Major modification on arguments using bordered Floer homology

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