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

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

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? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

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