One Stabilization is Not Enough for Contractible 4-Manifolds
Sungkyung Kang (Institute for basic science)
MSRI: Simons Auditorium, Online/Virtual
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 $S^2 \times S^2$.