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math.DG2026
Descent of Basic Forms to Quotients by Locally Free Lie Group Actions
Yi Lin
We prove an equivariant version of the theorem of Hector, Mac\'ıas-Virgós, and Sanmart\'ın-Carbón identifying diffeological forms on the leaf space of a foliation with basic forms.…
math.DG2026
A Transverse Averaging Operator and Cohomology of Quotients by Homogeneous Non-closed Subgroups
Yi Lin
In this article, we introduce a transverse averaging operator for basic forms on a complete Riemannian foliation with compact leaf closure space, equipped with an isometric transve…