Geometry & Topology, Vol. 6 (2002)
Paper no. 16, pages 425--494.
Cappell-Shaneson's 4-dimensional s-cobordism
In 1987 S Cappell and J Shaneson constructed an s-cobordism H
from the quaternionic 3-manifold Q to itself, and asked whether H
or any of its covers are trivial product cobordism? In this paper we
study H, and in particular show that its 8-fold cover is the
product cobordism from S^3 to itself. We reduce the triviality of H
to a question about the 3-twist spun trefoil knot in S^4, and also
relate this to a question about a Fintushel-Stern knot surgery.
s-cobordism, quaternionic space
AMS subject classification.
Primary: 57R55, 57R65.
Secondary: 57R17, 57M50.
Submitted to GT on 4 September 2002.
Paper accepted 2 October 2002.
Paper published 23 October 2002.
Notes on file formats
Department of Mathematics
Michigan State University
MI, 48824, USA
GT home page
These pages are not updated anymore.
They reflect the state of
For the current production of this journal, please refer to