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A simple class of infinitely many absolutely exotic manifolds (1803.03256v3)
Published 8 Mar 2018 in math.GT and math.DG
Abstract: We show that the smooth $4$-manifold $M$ obtained by attaching a $2$-handle to $B4$ along a certain knot $K\subset \partial B4$ admits infinitely many absolutely exotic copies $M_n$, $n=0,1,2..$, such that each copy $M_n$ is obtained by attaching $2$-handle to a fixed compact smooth contractible manifold $W$ along the iterates $f{n}(c)$ of a knot $c\subset \partial W$ by a diffeomorphism $f:\partial W \to \partial W$. This generalizes the example in author's 1991 paper, which corresponds to $n=1$ case.