The Burau representation of the braid group is faithful for n = 4
Researchers have published a paper confirming that the Burau representation of the braid group is faithful for n = 4. This mathematical proof resolves a long-standing question in the field of geometric topology.
Why it matters
This finding settles a specific, complex problem in knot theory and group theory, contributing to the foundational understanding of mathematical structures.
Focus to learn more arXiv-issued DOI via DataCite Submission history From: Tara E. Brendle [ view email ] [v1] Mon, 6 Jul 2026 16:28:02 UTC (3,164 KB) Full-text links: Access Paper: View a PDF of the paper titled The Burau representation of the braid group is faithful for n = 4, by Vasudha Bharathram and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.GT < prev | next > new | recent | 2026-07 Change to browse by: math math.GR References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps?
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