On an infinite order cork automorphisms

Abstract

Here we give a concrete description of the cork automorphism $f:\partial W\to \partial W$ of the infinite order loose-cork $(W,f)$, defined in \cite{a2}. It is obtained by concatenating the defining ribbon disk of $W$ in $B^4$ by an infinite order isotopy of the boundary knot.

2 pages, 3 figures A serious error of the first posting corrected, and the title changed

References in corpus (2)

• Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$
• Homotopy $4$-spheres associated to an infinite order loose cork

Cited by in corpus (1)

• On a homotopy $4$-sphere