Equivariant surgery with middle dimensional singular sets .1.
Bak, Anthony
Bak
Anthony
Morimoto, Masaharu
Morimoto
Masaharu
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.
8
3
267-302
267-302
Walter de Gruyter GmbH
1996