X. Liu

activity

20092026

most citedOn a spectral sequence for twisted cohomologies

2 citations · 2 across the 10 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.AT2009

Detection of some elements in the stable homotopy groups of spheres

Xiugui Liu

In this paper we constructs a new nontrivial family in the stable homotopy groups of spheres $π_{p^{n} q + 2 pq + q - 3} S$ which is of order $p$ and is represented by $k_0h_{n} \in Ext_A^{3,…

math.AT2009

A product involving the $β$ -family in stable homotopy theory

Xiugui Liu, Wending Li

In the stable homotopy groups $π_{q (p^{n} + p^{m} + 1) - 3} (S)$ of the sphere spectrum $S$ localized at the prime $p$ greater than three, J. Lin constructed an essential family $ξ_{m, n}$ for…

math.AT2009★ 2 cited

On a spectral sequence for twisted cohomologies

Weiping Li, Xiugui Liu, He Wang

Let ( $Ω^{*} (M), d$ ) be the de Rham cochain complex for a smooth compact closed manifolds $M$ of dimension $n$ . For an odd-degree closed form $H$ , there are a twisted de Rham coc…

Detection of some elements in the stable homotopy groups of spheres

A product involving the β-family in stable homotopy theory

On a spectral sequence for twisted cohomologies

A product involving the $β$ -family in stable homotopy theory