71 citations · 154 across the 23 of their papers we have counts for
23 papers
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…
Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
Yi Lin, Yiannis Loizides, Reyer Sjamaar +1
We extend the Marsden-Weinstein reduction theorem and the Darboux-Moser-Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplecti…
Riemannian foliations and geometric quantization
Yi Lin, Yiannis Loizides, Reyer Sjamaar +1
We introduce geometric quantization for constant rank presymplectic structures with Riemannian null foliation and compact leaf closure space. We prove a quantization-commutes-with-…
Log symplectic manifolds and
Yi Lin, Yiannis Loizides, Reyer Sjamaar +1
We show, under an orientation hypothesis, that a log symplectic manifold with simple normal crossing singularities has a stable almost complex structure, and hence is Spin. In…
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.