28 citations · 94 across the 23 of their papers we have counts for
23 papers
Equivariant formality of corank-one isotropy actions and products of rational spheres
Jeffrey Carlson, Chen He
We completely characterize the pairs of connected Lie groups such that and the left action of on is equivariantly formal…
Internal symmetry of the algebra arising from a Lie pair
Dadi Ni, Jiahao Cheng, Zhuo Chen +1
A Lie pair is an inclusion to of Lie algebroids over the same base manifold. In an earlier work, the third author with Bandiera, Stiénon, and Xu introduced a canonical $L_{…
The equivariant cohomology ring of a cohomogeneity-one action
Jeffrey D. Carlson, Oliver Goertsches, Chen He +1
We compute the rational Borel equivariant cohomology ring of a cohomogeneity-one action of a compact Lie group.
Torsions of integral homology and cohomology of real Grassmannians
Chen He
According to a result of Ehresmann, the torsions of integral homology of real Grassmannian are all of order . In this note, We compute the -dimensions of torsions…
Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang)
Chenxu He, Guofang Wei
In [SWW], S. Seto, L. Wang and G. Wei proved that the gap between the first two Dirichlet eigenvalues of a convex domain in the unit sphere is at least as large as that for an asso…
Equivariant cohomology rings of the real flag manifolds
Chen He
We give Leray-Borel-type descriptions for the mod- and the rational equivariant cohomology rings of the real and the oriented flag manifolds under the canonical torus or 2-torus…