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# One Stabilization is Not Enough for Contractible 4-Manifolds

## [HYBRID WORKSHOP] Floer Homotopical Methods in Low Dimensional and Symplectic Topology November 14, 2022 - November 18, 2022

November 17, 2022 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Sungkyung Kang (Institute for basic science)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
• corks

• stabilization

• involutive Heegaard Floer homology

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

#### One Stabilization Is Not Enough For Contractible 4-Manifolds

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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 One Stabilization is Not Enough for Contractible 4-Manifolds 325 KB application/pdf Download
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#### One Stabilization Is Not Enough For Contractible 4-Manifolds

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