Semicharacteristics, Bordism, and Free Group Actions

DOI10.2307/2001207zbMath0675.57015OpenAlexW4238418909MaRDI QIDQ3830239

R. James Milgram, James F. Davis

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001207

zbMATH Keywords

surgery obstructionsemicharacteristic classesbordism group of closed oriented manifolds with a free G actioncharacteristic class formulacompact closed manifolds with finite-dimensional groupodd L- group

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Characteristic classes and numbers in differential topology (57R20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Algebraic topology of manifolds (57N65) Surgery obstructions, Wall groups (57R67) Equivariant cobordism (57R85) Homology with local coefficients, equivariant cohomology (55N25) Cobordism in PL-topology (57Q20)

Related Items

Detection theorems for K-theory and L-theory ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ Equivariant semicharacteristics and induction ⋮ Free actions on products of spheres: The rational case ⋮ Symmetric invariants and cohomology of groups ⋮ On the Structure of Finite Groups with Periodic Cohomology

Cites Work

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• Courbure intégrale généralisée et homotopie
• The mod p cohomology rings of the nonabelian split metacyclic p-groups
• The mod-2 cohomology of metacyclic 2-groups
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• Torsion in \(H\)-spaces
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• On manifolds satisfying \(w_ 1^ 2=0\)
• Semicharacteristic classes
• Detection theorems for K-theory and L-theory
• Surgery with Finite Fundamental Group
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• The Surgery Semicharacteristic

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