71 citations · 154 across the 23 of their papers we have counts for
10 papers · 1 filter
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.…
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…
A Thom isomorphism in foliated de Rham theory
Yi Lin, Reyer Sjamaar
We prove a Thom isomorphism theorem for differential forms in the setting of transverse Lie algebra actions on foliated manifolds and foliated vector bundles.
Cohomological localization for transverse Lie algebra actions on Riemannian foliations
Yi Lin, Reyer Sjamaar
We prove localization and integration formulas for the equivariant basic cohomology of Riemannian foliations. As a corollary we obtain a Duistermaat-Heckman theorem for transversel…
Generalized complex hamiltonian torus actions: Examples and constraints
Thomas Baird, Yi Lin
Consider an effective Hamiltonian torus action on a topologically twisted,generalized complex manifold of dimension . We prove that the …
Topology of generalized complex quotients
Thomas Baird, Yi Lin
Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold . We first observe that Kirwan injectivity and surjectivity hold for ordinary equiva…