PUB - Publikationen an der Universität Bielefeld

Let G be a finite group. Let f: X --> Y be a k-connected, degree 1, G-framed map of simply connected, closed, oriented, smooth manifolds X and Y of dimension 2k greater than or equal to 6. Assuming that the dimension of the singular set of the action of G on X is at most k, we construct an abelian group W(G, Y) and an element sigma(f) is an element of W(G, Y), called the surgery obstruction off, such that the vanishing of sigma(f) in W(G, Y) guarantees that f can converted by G-surgery to a homotopy equivalence.