Equivariant Surgery with Middle Dimensional Singular Sets. Ii: Equivariant Framed Cobordism Invariance

  title={Equivariant Surgery with Middle Dimensional Singular Sets. Ii: Equivariant Framed Cobordism Invariance},
  author={M. Morimoto},
Let G be a finite group and let f : X → Y be a degree 1, G-framed map such that X and Y are simply connected, closed, oriented, smooth manifolds of dimension n = 2k = 6 and such that the dimension of the singular set of the G-space X is at most k. In the previous article, assuming f is kconnected, we defined the G-equivariant surgery obstruction σ(f) in a certain abelian group. There it was shown that if σ(f) = 0 then f is G-framed cobordant to a homotopy equivalence f ′ : X′ → Y . In the… CONTINUE READING

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