23 citations · 44 across the 14 of their papers we have counts for
14 papers
The maximal destabilizers for Chow and K-stability
Yi Yao
Donaldson showed that the constant scalar curvature Kähler metrics can be quantized by the balanced Hermitian norms on the spaces of global sections. We explore an analogous proble…
Relative Ding Stability and an Obstruction to the Existence of Mabuchi Solitons
Yi Yao
Mabuchi solitons generalize Kähler-Einstein metrics on Fano manifolds, which constitute a Yau-Tian-Donaldson type correspondence with relative Ding stability. Comparing with Kähler…
Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation
Sayan Chakraborty, Xiang Tang, Yi-Jun Yao
Using a smooth version of the Connes--Thom isomorphism in Grensing's bivariant K-theory for locally convex algebras, we prove an equivariant version of the Connes--Thom isomorphism…
Mabuchi Solitons and Relative Ding Stability of Toric Fano Varieties
Yi Yao
As a generalization of Kahler-Einstein metrics for Fano manifolds with nonvanishing Futaki invariant, Mabuchi solitons are critical points of a Calabi-type energy functional. We st…
Mackey analogy via -modules in the example of
Qijun Tan, Yijun Yao, Shilin Yu
A conjecture by Mackey and Higson claims that there is close relationship between irreducible representations of a real reductive group and those of its Cartan motion group. The ca…
Greatest lower bounds on Ricci curvature of homogeneous toric bundles
Yi Yao
For Fano homogeneous toric bundles, we obtain a formula of the greatest lower bound on Ricci curvature. We also give a criteria for the ampleness of a kind of line bundles over gen…