Equivariant surgery theories and their periodicity properties

DOI10.1007/BFb0092354zbMath0712.57001MaRDI QIDQ1188876

Karl Heinz Dovermann, Reinhard Schultz

Publication date: 17 September 1992

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

surgery exact sequencenormal mapsstructure setEquivariant surgeryGap Hypothesisequivariant homotopy equivalenceselementary surgeriesequivariant handleequivariant maps which are homotopy equivalencesequivariant surgery obstruction groupsequivariant surgery with coefficientsmanifolds with group actionperiodicity properties of the surgery obstruction groupspseudo-equivalencesstratification by fixed sets of subgroups

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Compact Lie groups of differentiable transformations (57S15) Surgery and handlebodies (57R65) Finite transformation groups (57S17) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Surgery obstructions, Wall groups (57R67)

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Isovariant mappings of degree 1 and the gap hypothesis ⋮ One-connectivity and finiteness of HamiltonianS¹-manifolds with minimal fixed sets ⋮ The periodicity in stable equivariant surgery ⋮ On the stratification by orbit types ⋮ Equivariant periodicity for abelian group actions ⋮ Surgery obstructions of fibre bundles ⋮ There are exotic involutions on M × M ⋮ Unnamed Item ⋮ Stratified path spaces and fibrations

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