An equivariant isomorphism identifies diffeological de Rham forms on certain quotients M/H with H-invariant basic forms on the foliated manifold, generalizing prior results on homogeneous spaces.
Iglesias-Zemmour, Diffeology, Mathematical Surveys and Monographs
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A transverse averaging operator built from infinitesimal data preserves basic cohomology classes and yields H^•_dR(G/H) ≅ H^•(g, h) when g is compact type and G/closure(H) is compact.
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De Rham Cohomology of Certain Diffeological Quotients
An equivariant isomorphism identifies diffeological de Rham forms on certain quotients M/H with H-invariant basic forms on the foliated manifold, generalizing prior results on homogeneous spaces.
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A Transverse Averaging Operator and Cohomology of Quotients by Non-closed Subgroups
A transverse averaging operator built from infinitesimal data preserves basic cohomology classes and yields H^•_dR(G/H) ≅ H^•(g, h) when g is compact type and G/closure(H) is compact.