4 citations · 4 across the 5 of their papers we have counts for
5 papers
On Stanley-Reisner Rings with Minimal Betti Numbers
Pimeng Dai, Li Yu
We classify simplicial complexes with a given number of vertices whose Stanley-Reisner ring has the minimal sum of Betti numbers. The Betti numbers of the Stanley-Reisner rings of…
On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number
Pimeng Dai, Li Yu
We determine which simplicial complexes have the maximum or minimum sum of Betti numbers and sum of bigraded Betti numbers with a given number of vertices in each dimension.
On equivariantly formal 2-torus manifolds
Li Yu
A 2-torus manifold is a closed connected smooth n-manifold with a non-free effective smooth -action. In this paper, we prove that a 2-torus manifold is equivariantl…
A proof of Halperin-Carlsson Conjecture for free Z_2-torus actions on manifolds
Li Yu
This paper has been withdrawn due to a gap in the proof of the main result.
On the constructions of free and locally standard Z_2-torus actions on Manifolds
Li Yu
We introduce an elementary way of constructing principal (Z_2)^m-bundles over compact smooth manifolds. In addition, we will define a general notion of locally standard (Z_2)^m-act…