2 citations · 3 across the 2 of their papers we have counts for
6 papers
A distinguished subring of the Chow ring and cohomology of
Xing Gu
We determine a subring of the Chow ring and the cohomology of , the classifying space of the projective linear group of degree over complex numbers, and explain a way i…
On the Brown-Peterson cohomology of in lower dimensions and the Thom map
Xing Gu
For an odd prime , we study the image of the Thom map from Brown-Peterson cohomology of to the ordinary cohomology in dimensions , where is the…
On The Topological Period-Index Problem over 8-manifolds
Diarmuid Crowley, Xing Gu, Christian Haesemeyer
We establish upper bounds of the indices of topological Brauer classes over a closed orientable 8-manifolds. In particular, we verify the Topological Period-Index Conjecture (TPIC)…
The composition of R.~Cohen's elements and the third periodic elements in stable homotopy groups of spheres
Xing Gu, Xiangjun Wang, Jianqiu Wu
In this paper, we study the cohomology of the Morava stabilizer algebra . As an application, we show that for , if , $n\not \eq…
Some torsion classes in the Chow ring and cohomology of
Xing Gu
In the integral cohomology ring of the classifying space of the projective linear group (over ), we find a collection of -torsions of degree $2(p^{…
The Topological Period-Index Problem over 8-Complexes, II
Xing Gu
We complete the study of the topological period-index problem over 8 dimensional finite CW complexes started in a preceding paper. More precisely, we determine the sharp upper boun…