Zhouli Xu

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20242026

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3 papers · 1 filter

math.AT2026

Equivariant generating hypotheses for finite groups

Sihao Ma, XiaoLin Danny Shi, Zhouli Xu +1

We prove that no nontrivial finite group $G$ satisfies the equivariant generating hypothesis of Bohmann, even when all $R O (H)$ -graded homotopy groups are tested for every subgroup…

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.AT2024

Classical stable homotopy groups of spheres via $F_{2}$ -synthetic methods

Robert Burklund, Daniel C. Isaksen, Zhouli Xu

We study the $F_{2}$ -synthetic Adams spectral sequence. We obtain new computational information about $C$ -motivic and classical stable homotopy groups.

Equivariant generating hypotheses for finite groups

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

Classical stable homotopy groups of spheres via F2​-synthetic methods

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

Classical stable homotopy groups of spheres via $F_{2}$ -synthetic methods