Shang-Jie Zhang

activity

20242026

collaborators

5 papers

math.AT2026

Equivariant generating hypotheses for finite groups

Sihao Ma, XiaoLin Danny Shi, Zhouli Xu +1

We disprove Bohmann's equivariant generating hypothesis for every nontrivial finite group $G$ , even when all $\RO(H)$-graded homotopy groups at every subgroup $H$ are tested. For e…

math.AT2026

A Hurewicz Theorem for $R O (C_{2})$ -graded Equivariant Homology Governed by Vector Fields on Spheres

Manyi Guo, Guchuan Li, Yunze Lu +5

We determine the $R O (C_{2})$ -graded Hurewicz images of the $C_{2}$ -equivariant Eilenberg--MacLane spectra $H F_{2}$ , $H Z$ and $H A$ , whe…

math.AT2025

$C_{3}$ -equivariant stable stems

Yueshi Hou, Shangjie Zhang

We compute the spoke-graded $C_{3}$ -equivariant stable homotopy groups of spheres $π_{i, j}^{C_{3}}$ , for stems less than 25 (i.e. $i \leq 25$ ) and for weights between -16 and 16 (i.e.…

math.AT2025

Equivariant $v_{1, 0}$ -self maps

William Balderrama, Yueshi Hou, Shangjie Zhang

Let $G$ be a cyclic $p$ -group or generalized quaternion group, $X \in π_{0} S_{G}$ be a virtual $G$ -set, and $V$ be a fixed point free complex $G$ -representation. Under conditions depen…

math.AT2024

$C_{p^{n}}$ -equivariant Mahowald invariants

William Balderrama, Yueshi Hou, Shangjie Zhang

The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the $C_{p^{n}}$ -Maho…

Equivariant generating hypotheses for finite groups

A Hurewicz Theorem for RO(C2​)-graded Equivariant Homology Governed by Vector Fields on Spheres

C3​-equivariant stable stems

Equivariant v1,0​-self maps

Cpn​-equivariant Mahowald invariants

A Hurewicz Theorem for $R O (C_{2})$ -graded Equivariant Homology Governed by Vector Fields on Spheres

$C_{3}$ -equivariant stable stems

Equivariant $v_{1, 0}$ -self maps

$C_{p^{n}}$ -equivariant Mahowald invariants