Xing Gu

activity

20242026

collaborators

3 papers

math.AT2026

The cohomology of $B P U (p^{m})$ and invariant polynomials

Xing Gu

Let $p$ be an odd prime. For a compact Lie group $G$ and an elementary abelian $p$ -group $A$ of $G$ , one may define the Weyl group $W_{A}$ of $A$ in a similar fashion as defining the…

math.AT2025

On $H^{*} (B P U_{n}; Z)$ and Weyl group invariants

Diarmuid Crowley, Xing Gu

For the projective unitary group $P U_{n}$ with a maximal torus $T_{P U_{n}}$ and Weyl group $W$ , we show that the integral restriction homomorphism \[Ï_{PU_n} \colon H^*(BPU_n;\mathbb{…

math.AT2024

Topological complexity of enumerative problems and classifying spaces of $P U_{n}$

Weiyan Chen, Xing Gu

We study the topological complexity, in the sense of Smale, of three enumerative problems in algebraic geometry: finding the 27 lines on cubic surfaces, the 28 bitangents and the 2…

The cohomology of BPU(pm) and invariant polynomials

On H∗(BPUn​;Z) and Weyl group invariants

Topological complexity of enumerative problems and classifying spaces of PUn​

The cohomology of $B P U (p^{m})$ and invariant polynomials

On $H^{*} (B P U_{n}; Z)$ and Weyl group invariants

Topological complexity of enumerative problems and classifying spaces of $P U_{n}$