Torus Actions on a Cohomology Product of Three Odd Spheres

DOI10.2307/1997088zbMath0305.57033OpenAlexW4234805756MaRDI QIDQ4061720

Christopher Allday

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997088

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Fixed points and coincidences in algebraic topology (55M20) Homology with local coefficients, equivariant cohomology (55N25) Homotopy groups (55Q99)

Related Items (2)

Syzygies in equivariant cohomology in positive characteristic ⋮ The rational homotopy of fixed point sets of torus actions

Cites Work

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• The Borel formula and the topological splitting principle for torus actions on a Poincaré duality space
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Torus actions on a product of two odd spheres
• The spectrum of an equivariant cohomology ring. I. II
• Topological Schur lemma and related results
• Fixed point sets of actions on Poincaré duality spaces
• Seminar on Transformation Groups. (AM-46)
• Homotopical Properties of Fixed Point Sets of Circle Group Actions, I
• Some fundamental theorems in cohomology theory of topological transformation groups
• On the Rank of a Space
• Group actions on Poincaré duality spaces
• The Homology Products in K(II, n)

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