One stabilization is not enough for contractible 4-manifolds

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 \time...

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Bibliographic Details
Published in:arXiv.org 2024-09
Main Author: Kang, Sungkyung
Format: Article
Language:English
Subjects:
Manifolds
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Summary: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 \(S^2 \times S^2\).
ISSN:2331-8422