The Euler Characteristic as an Obstruction to Compact Lie Group Actions

DOI10.2307/2000636zbMath0623.57024OpenAlexW4242282605MaRDI QIDQ3761305

Volker Hauschild

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000636

zbMATH Keywords

homogeneous spacesEuler characteristicsymmetry degreerational homotopy groupsorder of the Weyl groupActions of compact Lie groupsspaces of F-typespaces whose rational cohomology ring is a quotient of a polynomial algebra by a quadratic form

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Groups acting on specific manifolds (57S25) Equivariant homology and cohomology in algebraic topology (55N91) Compact groups of homeomorphisms (57S10)

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Addendum to ``Existence of Hermitian n-symmetric spaces and of non- commutative naturally reductive spaces ⋮ Dirac operators and symmetries of quasitoric manifolds ⋮ Quasitoric manifolds homeomorphic to homogeneous spaces

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