10.1515/form.1996.8.267
Bak, Anthony
Anthony
Bak
Morimoto, Masaharu
Masaharu
Morimoto
Equivariant surgery with middle dimensional singular sets .1.
1996
2010-04-29T13:15:05Z
2019-05-06T13:42:55Z
journal_article
https://pub.uni-bielefeld.de/record/1639040
https://pub.uni-bielefeld.de/record/1639040.json
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.