Work

The Burau representation of the braid group is faithful for n = 4

Year: 2026

Type: preprint

Abstract: In this paper we use ideas introduced earlier by Moody, Long, Long-Paton, and Bigelow to prove the theorem of the title, that the Burau representation of the classical braid group is faithful for n = 4. An immediate corollary is that the Jones representation of the braid group is also faithful for n = 4.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.05283

Authors: Bharathram, Vasudha, Birman, Joan S., Brendle, Tara E.

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7167625590

Cites:

Cited by: 4

Related to: 10