Pseudo-isotopy and invariant theory—I

Abstract

such that f(M X 0 = id; the space of all such pseudo-isotopies (with the C” Whitney topology) is denoted P(M). This paper looks at the problem of computing the rational homotopy groups qP( M>@0 for i G dim M, under the assumption that M is simpiyconnected. These homotopy groups are very closely related to corresponding rational homotopy groups of the space of diffeomorphisms of M [ l-41. According to [ 1,3] there is a natural suspension map