### 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 |
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Pages (from-to) | 267-302 |

Number of pages | 36 |

Journal | Forum Mathematicum |

Volume | 8 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 1996 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Bak, A., & Morimoto, M. (1996). Equivariant surgery with middle dimensional singular sets. I.

*Forum Mathematicum*,*8*(3), 267-302. https://doi.org/10.1515/form.1996.8.267