Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 267-302 |
| Number of pages | 36 |
| Journal | Forum Mathematicum |
| Volume | 8 |
| Issue number | 3 |
| Publication status | Published - 1996 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Equivariant surgery with middle dimensional singular sets. I. / Bak, Anthony; Morimoto, Masaharu.
In: Forum Mathematicum, Vol. 8, No. 3, 1996, p. 267-302.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Equivariant surgery with middle dimensional singular sets. I
AU - Bak, Anthony
AU - Morimoto, Masaharu
PY - 1996
Y1 - 1996
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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UR - http://www.scopus.com/inward/citedby.url?scp=0030304633&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0030304633
VL - 8
SP - 267
EP - 302
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 3
ER -