Infinite exotic structures conjecture for the manifolds $Y$ and $Z$

Let $Y_{2m}$ and $Z_{2m}$ denote the manifolds obtained from $Y$ and $Z$, respectively, by generalized cork twists of exponent $2m$. Infinite exotic structures conjecture. The families $\{Y_{2m}\}$ and $\{Z_{2m}\}$ are infinitely many mutually exotic manifolds to $Y$ and $Z$, respectively. The paper establishes that each $Y_{2n}$ is homeomorphic but non-diffeomorphic to $Y$, and similarly constructs $Z_2$ non-diffeomorphic to $Z$; whether the members of these families are mutually non-diffeomorphic is left unresolved.