Jiaxi Zha

activity

20242026

collaborators

5 papers

math.AT2026

On The Rational Realization of Even-dimensional Spheres and Products of Eilenberg--MacLane Spaces as Classifying Spaces

Yang Bai, Xiugui Liu, Jiaxi Zha

In this paper, we study the rational realization problem for the classifying space $\B(X)$. We prove that if $S^{2 n}$ is realized as $\B(X)$ for a simply-connected space $X$ , then…

math.AT2026

Logarithmic topological Hochschild homology of the truncated Brown--Peterson spectrum

Jiaxi Zha

We study logarithmic topological Hochschild homology (log THH) of the truncated Brown--Peterson spectra $BP ⟨ n ⟩$ . We first construct compatible prelog structur…

math.AT2026

Topological CoHochschild Homology and Thom Spectra

Jiaxi Zha

For an $\E$-ring spectrum $R$ and a map $f : X \to P i c (R)$ of spaces, the Thom spectrum $\T f$ is a comodule over $R\otimes\Si X$. In this paper we study the topological coHochschild…

math.AT2025

On topological coHochschild homology and cotensor products

Jiaxi Zha

In this work, we first study the cotensor product of comodules in the $\infty$ -category $Mod_{R}$ for a connected $E_{\infty}$ -ring spectrum $R$ . We then apply thes…

math.AT2024

Cohomology of $B P U_{n}$ and rings of invariants of Weyl groups

Feifei Fan, Jiaxi Zha, Zhilei Zhang +1

Let $P U_{n}$ denote the projective unitary group of rank $n$ and $B P U_{n}$ be its classifying space, for $n > 1$ . Using the Serre spectral sequence associated to the fibration $BU_n\to B…

On The Rational Realization of Even-dimensional Spheres and Products of Eilenberg--MacLane Spaces as Classifying Spaces

Logarithmic topological Hochschild homology of the truncated Brown--Peterson spectrum

Topological CoHochschild Homology and Thom Spectra

On topological coHochschild homology and cotensor products

Cohomology of BPUn​ and rings of invariants of Weyl groups

Cohomology of $B P U_{n}$ and rings of invariants of Weyl groups