# What are Kirby diagrams of candidate exotic 4-manifolds?

It is an open problem whether there exist smooth manifolds homeomorphic, but not diffeomorphic to the standard $S^4$. The same is true for the 4-torus and several other manifolds. Handle decompositions of 4-manifolds can be written down as Kirby diagrams: Dotted circles represent 1-handles, undotted, numbered links represent 2-handles.

Is there a reference that lists candidate exotic manifolds, expressed in Kirby diagrams?

Edit: I am mainly interested in diagrams for manifolds that are not known, but conjectured to be exotic.

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