Fixed point free involutions on homotopy spheres

DOI10.2748/tmj/1178241416zbMath0276.57013OpenAlexW2019431794MaRDI QIDQ1393757

G. R. Livesay, William Browder

Publication date: 1973

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241416

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (14)

Moduli space of non-negative sectional or positive Ricci curvature metrics on sphere bundles over spheres and their quotients ⋮ Equivariant Concordance of Invariant Knots ⋮ Concordance classes of regular O(n)-actions on homotopy spheres ⋮ Free involutions on \(S ^{1} \times S ^{n }\) ⋮ On Invariants of Hirzebruch and Cheeger-Gromov ⋮ Orientable $4$-dimensional Poincaré complexes have reducible Spivak fibrations ⋮ On codimension two and one splitting ⋮ Free actions of finite groups on $S^n \times S^n$ ⋮ Finite group actions on Kervaire manifolds ⋮ Involutions on Homotopy Spheres and their Gluing Diffeomorphisms ⋮ Surgery of closed manifolds with dihedral fundamental group ⋮ The block structure spaces of real projective spaces and orthogonal calculus of functors ⋮ A concordance classification of p.l. homeomorphisms of real projective space ⋮ Characteristic Submanifolds of Fixed Point Free Involutions

Cites Work

• On combinatorial submanifolds of differentiable manifolds
• The cohomology algebra of a space
• Embeddings of polyhedral manifolds
• Relative neighborhoods and the theorems of Smale
• Groups of homotopy spheres. I
• Products of cocycles and extensions of mappings
• Quelques propriétés globales des variétés différentiables
• The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
• Morse Theory. (AM-51)
• Whitehead torsion
• Fixed point free involutions on homotopy spheres
• Free piecewise linear involutions on spheres
• Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. (Teil I.).
• Espaces fibrés en sphères et carrés de Steenrod
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