Feifei Fan

collaborators

5 papers

math.AT2025

A formula for the mod $p$ cohomology of $B P U (p)$

Feifei Fan

We study the mod $p$ cohomology ring of the classifying space $B P U (p)$ of the projective unitary group $P U (p)$ , when $p$ is an odd prime. We prove a mod $p$ formula analogous to a…

math.AT2025

A counterexample to a conjecture of Adams

Feifei Fan

A conjecture due to J. F. Adams says that, for any odd prime $p$ , the mod $p$ cohomology ring of the classifying space of a connected compact Lie group is detected by its elementar…

math.AT2024

Operators on symmetric polynomials and applications in computing the cohomology of $B P U_{n}$

Feifei Fan

This paper studies the integral cohomology ring of the classifying space $B P U_{n}$ of the projective unitary group $P U_{n}$ . By calculating a Serre spectral sequence, we determine the…

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…

math.AT2024

The cohomology of the classifying space of $P U (4)$

Feifei Fan

Let $B P U (n)$ be the classifying space of the projective unitary group $P U (n)$ . We determine the integral cohomology ring of $B P U (4)$ , and the Steenrod algebra structure of its mod…

A formula for the mod p cohomology of BPU(p)

A counterexample to a conjecture of Adams

Operators on symmetric polynomials and applications in computing the cohomology of BPUn​

Cohomology of BPUn​ and rings of invariants of Weyl groups

The cohomology of the classifying space of PU(4)

A formula for the mod $p$ cohomology of $B P U (p)$

Operators on symmetric polynomials and applications in computing the cohomology of $B P U_{n}$

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

The cohomology of the classifying space of $P U (4)$