Explicit PL self-knottings and the structure of PL homotopy complex projective spaces

Douglas Shelby Meadows

Vol. 107 (1983), No. 1, 189–204

DOI: 10.2140/pjm.1983.107.189

Abstract

We show that certain piecewise-linear homotopy complex projective spaces may be described as a union of smooth manifolds glued along their common boundaries. These boundaries are sphere bundles and the glueing homeomorphisms are piecewise-linear self-knottings on these bundles. Furthermore, we describe these self-knottings very explicitly and obtain information on the groups of concordance classes of such maps.

Mathematical Subject Classification 2000

Primary: 57Q25

Milestones

Received: 24 March 1980

Published: 1 July 1983