TY - JOUR
T1 - Equivariant surgery with middle dimensional singular sets. I
AU - Bak, Anthony
AU - Morimoto, Masaharu
PY - 1996/1/1
Y1 - 1996/1/1
N2 - 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 ≧ 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 σ(f) ∈ W (G, Y), called the surgery obstruction of f, such that the vanishing of σ(f) in W (G, Y) guarantees that f can converted by G-surgery to a homotopy equivalence.
AB - 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 ≧ 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 σ(f) ∈ W (G, Y), called the surgery obstruction of f, such that the vanishing of σ(f) in W (G, Y) guarantees that f can converted by G-surgery to a homotopy equivalence.
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U2 - 10.1515/form.1996.8.267
DO - 10.1515/form.1996.8.267
M3 - Article
AN - SCOPUS:0030304633
VL - 8
SP - 267
EP - 302
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 3
ER -