Induction theorems of surgery obstruction groups

DOI10.1090/S0002-9947-03-03266-5zbMath1019.19002MaRDI QIDQ4804215

Masaharu Morimoto

Publication date: 10 April 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Grothendieck groupequivariant surgeryBurnside ringinductionrestrictionWitt groupMackey functorGreen functor

Mathematics Subject Classification ID

Witt groups of rings (19G12) (K_0) of group rings and orders (19A31) Surgery obstructions, Wall groups (57R67) (L)-theory of group rings (19G24) Surgery obstructions ((K)-theoretic aspects) (19J25)

Related Items (5)

Construction of one-fixed-point actions on spheres of nonsolvable groups. I ⋮ Fixed-point sets of smooth actions on spheres ⋮ Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets ⋮ Equivariant surgery theory for homology equivalences under the gap condition ⋮ Deleting and inserting fixed point manifolds under the weak gap condition

Cites Work

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• Transformation groups and representation theory
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• \(K\)-theoretic groups with positioning map and equivariant surgery
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• Grothendieck and Witt groups of orders and finite groups
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