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Surgery with finite fundamental group. (English) Zbl 0613.57013

Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 3, 53 p. (1987).
The authors introduce a new technique for evaluating the surgery obstructions for degree 1 normal maps of closed manifolds. The approach is based on a thorough analysis of the Quinn-Ranicki assembly map. This yields new \({\mathbb{Z}}/2 {\mathbb{Z}}\)-valued homology invariants, which at least detect surgery obstructions in \(L^ h\).
Reviewer: M.Kolster

MSC:

57R67 Surgery obstructions, Wall groups
57R65 Surgery and handlebodies
11E16 General binary quadratic forms