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One stabilization is not enough for contractible 4-manifolds

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arxiv 2210.07510 v3 pith:T4BBJUPW submitted 2022-10-14 math.GT

Sungkyung Kang This is my paper · ORCID
classification math.GT
keywords exoticconnectedcontractiblemanifoldsremainstakingtimesabsolutely
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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 $S^2 \times S^2$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Naturality in real Heegaard Floer theory

    math.GT 2026-07 conditional novelty 7.0 of 10

    Real Heegaard Floer homology becomes a natural functor on based real 3-manifolds, with an equivariant mapping class group action and a new involutive variant.

  2. Strong corks derived from the Akbulut cork

    math.GT 2026-01 conditional novelty 6.0 of 10

    The boundaries of the AKMR and Tange cork families, and nontrivial equivariant connected sums of them, are strong corks.

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