scientific article

zbMath0574.57001MaRDI QIDQ3694282

John D. Randall, Ted Petrie

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fixed pointsrepresentation theoryhomotopy spheresurgery theoryindex theoremlocalization theoremsequivariant K- theoryG-surgerySmith equivalent representationstangential representations for smooth actions

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Equivariant fiber spaces and bundles in algebraic topology (55R91) Groups acting on specific manifolds (57S25) Localization and completion in homotopy theory (55P60) Index theory and related fixed-point theorems on manifolds (58J20) Equivariant homology and cohomology in algebraic topology (55N91) Finite transformation groups (57S17) Topological (K)-theory (55N15) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Surgery obstructions, Wall groups (57R67)

Related Items (23)

GAUGE GROUP AND TOPOLOGY CHANGE ⋮ Symmetries of Homotopy Complex Projective Three Spaces ⋮ Unnamed Item ⋮ Orientation reversing involutions on Brieskorn spheres ⋮ On the torus cobordant cohomology spheres ⋮ Finite group actions on a homotopy complex projective spaces ⋮ Equivariant surgery theory: Construction of equivariant normal maps ⋮ Equivariant frame fields on spheres with complementary equivariant complex structures ⋮ Bak groups and equivariant surgery ⋮ Spheres not admitting smooth odd-fixed-point actions of \(S_5\) and \(SL(2, 5)\) ⋮ Smith equivalent ${\pmb {{\rm {Aut}}(A_6)}}$-representations are isomorphic ⋮ Topological invariants of real algebraic actions ⋮ Equivariant periodicity for abelian group actions ⋮ The Smith set of the group \(S_{5} \times C_{2} \times \dots \times C_{2}\) ⋮ Nontrivial \(\mathcal P(G)\)-matched \(\mathfrak S\)-related pairs for finite gap Oliver groups ⋮ Semi-linear homology 𝐺-spheres and their equivariant inertia groups ⋮ Finite Group Actions on the Moduli Space of Self-Dual Connections. I ⋮ There are exotic involutions on M × M ⋮ Bak groups and equivariant surgery. II ⋮ The gap hypothesis for finite groups which have an Abelian quotient group not of order a power of 2. ⋮ A geometric quadratic form of \(3\)-dimensional normal maps ⋮ Tangential representations of one-fixed-point actions on spheres and Smith equivalence ⋮ Spherical isotropy representations

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