### Videos

#### Floer Homotopical Methods in Low Dimensional and Symplectic Topology Workshop: One Stabilization is Not Enough for Contractible 4-Manifolds

##### Presenter
November 17, 2022
Keywords:
• corks
• stabilization
• involutive Heegaard Floer homology
MSC:
• 57R55
• 57R58
##### 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 $S^2 \times S^2$.