Work

$3$-manifold groups are linear

Year: 2026

Type: preprint

Abstract: We prove that the fundamental group of every compact graph $3$-manifold is linear over the complex numbers. As a corollary, all fundamental groups of compact $3$-manifolds are linear over the complex numbers.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17608

Authors: Wu, Xiaolei, Ye, Shengkui

Institution: Fudan University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221815849

Cites: 1

Cited by: 1

Related to: 10