11 citations · 28 across the 11 of their papers we have counts for
11 papers
On the anisotropy and Lefschetz property for PL-spheres
Feifei Fan
A simplicial sphere is said to be generically anisotropic over a field if, for a certain purely transcendental field extension of , a cert…
Cohomological rigidity of manifolds with torus actions: I
Feifei Fan, Jun Ma, Xiangjun Wang
We study the cohomological rigidity problem of two families of manifolds with torus actions: the so-called moment-angle manifolds, whose study is linked with combinatorial geometry…
Toric spaces and face enumeration on simplicial manifolds
Feifei Fan
In this paper, we study the well-know -conjecture for rational homology spheres in a topological way. To do this, we construct a class of topological spaces with torus actions,…
Weak Lefschetz property of PL-spheres
Feifei Fan
A recent result of Papadakis-Petrotou shows that every simplicial sphere has the weak Lefschetz property in characteristic . In this paper, we give a simpler proof of this resul…
-Rigidity of flag -spheres without -belt
Feifei Fan, Jun Ma, Xiangjun Wang
Associated to every finite simplicial complex , there is a moment-angle complex . In this paper, we use some algebraic invariants to solve the -rigidity pro…
On the cohomology of moment-angle complexes associated to Gorenstein* complexes
Feifei Fan, Xiangjun Wang
The main goal of this article is to study the cohomology rings and their applications of moment-angle complexes associated to Gorenstein* complexes, especially, the applications in…