6 citations · 13 across the 12 of their papers we have counts for
4 papers · 1 filter
The homology of simpicial complements and the cohomology of moment-angle complexes
Qibing Zheng, Xiangjun Wang
We use the Taylor resolution of a monomial ideal to compute the Tor algebra of the Stanley-Reisner ring of a simplicial complement of a simplicial complex.
Graphs and the (co)homology of Lie algebras
Qibing Zheng
In this paper, we develop a diamond graph theory and apply the theory to the (co)homology of the Lie algebra generated by positive systems of the classical semi-simple Lie algebras…
Simplicial Homeology and Homeotopy
Qibing Zheng, Feifei Fan
In this paper, we define homeology group, reduced homeology group, cohomeology group and reduced cohomeology group on finite simpicial complexes and prove that these groups are hom…
A Homeomorphism Invariant of Polyhedra
Qibing Zheng
In this paper, we define a new bigraded L-homology on finite simplicial complexes and prove that L-homology is a homeomorphism invariant of polyhedra.