activity
20232026
collaborators

5 papers

math.GT2026

-manifold groups are linear

Xiaolei Wu, Shengkui Ye

We prove that the fundamental group of every compact graph -manifold is linear over the complex numbers. As a corollary, all fundamental groups of compact -manifolds are line…

math.GR2026

Pure braid groups are RFRS

Xiaolei Wu, Shengkui Ye

Agol in his 2014 ICM proceedings article \cite[Question 11]{Agol14} asks whether braid groups are (virtually) RFRS. We answer this positively by showing that pure braid groups are…

math.AG2025

Linearity and virtual poly-freeness of the fundamental group of plane curves of degree at most five

Shengkui Ye, Kejia Zhu

We prove that for any algebraic plane curve of degree at most , the fundamental group is linear and virtually polyfree. As a consequence, we a…

math.GR2025

Some questions related to free-by-cyclic groups and tubular groups

Xiaolei Wu, Shengkui Ye

We prove that a CAT(0) free-by-cyclic tubular group with a single vertex is virtually special, but many of them cannot virtually act freely and cocompactly on CAT(0) cube complexes…

math.GR2023

Splittings and poly-freeness of triangle Artin groups

Xiaolei Wu, Shengkui Ye

We prove that the triangle Artin group splits as a graph of free groups if and only if is greater than and even. This answers two questions of Jankiewi…