Xing Gu

activity

20182020

most citedOn The Topological Period-Index Problem over 8-manifolds

2 citations · 3 across the 2 of their papers we have counts for

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math.AT2020★ 1 cited

On the Brown-Peterson cohomology of $B P U_{n}$ in lower dimensions and the Thom map

Xing Gu

For an odd prime $p$ , we study the image of the Thom map from Brown-Peterson cohomology of $B P U_{n}$ to the ordinary cohomology in dimensions $0 \leq i \leq 2 p + 2$ , where $B P U_{n}$ is the…

math.AT2019★ 2 cited

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)…

math.AT2019

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 $S (3)$ . As an application, we show that for $p \geq 7$ , if $s \neq \equiv 0, \pm 1 m o d p$ , $n\not \eq…

math.AT2018

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…

On the Brown-Peterson cohomology of BPUn​ in lower dimensions and the Thom map

On The Topological Period-Index Problem over 8-manifolds

The composition of R.~Cohen's elements and the third periodic elements in stable homotopy groups of spheres

The Topological Period-Index Problem over 8-Complexes, II

On the Brown-Peterson cohomology of $B P U_{n}$ in lower dimensions and the Thom map