Circle Actions on Homotopy Spheres Bounding Plumbing Manifolds

DOI10.2307/2039079zbMath0255.57020OpenAlexW4238262829MaRDI QIDQ5669990

Reinhard Schultz

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2039079

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15) Differentiable structures in differential topology (57R55) Differential topological aspects of diffeomorphisms (57R50) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (8)

Some smooth circle and cyclic group actions on exotic spheres ⋮ A note on the degree of symmetry of exotic spheres ⋮ Real algebraic variety structures on P. L. manifolds ⋮ Differentiable group actions on homotopy spheres. I: Differential structure and the knot invariant ⋮ Pulling back the Gromoll-Meyer construction and models of exotic spheres ⋮ Circle actions on homotopy spheres bounding generalized plumbing manifolds ⋮ Semi-free circle actions on spheres ⋮ Some examples of vanishing Yamabe invariant and minimal volume, and collapsing of inequivalent smoothings and PL-structures

Cites Work

• A \(\Pi_*\)-module structure for \(\Theta_*\) and applications to transformation groups
• Equivariant differential topology
• Composition constructions on diffeomorphisms of \(S^p \times S^q\)
• An invariant for almost-closed manifolds

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