The Burau representation of the braid group is faithful for n = 4
2026/07/06 by Vasudha Bharathram, Joan S. Birman, Tara E. Brendle · 10 voices
#math.GT #math.GR
paper · pdf
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.
Discussions
- “The Burau representation of the braid group is faithful for n = 4” Vasudha Bharathram, Joan S. Birman, Tara E. Brendle arxiv.org/abs/2607.05283 I learned this from: www.scientificamerican.com/article [bsky, 83 points, 1 comments]
- The Burau representation of the braid group is faithful for n = 4 [hn, 48 points, 18 comments]
- En faisant de la biblio sur la théorie des nœuds et des tresses, je tombe sur une prépublication datée du 7 juillet 2026... notamment signé par Joan S. Birman. Cette mathématicienne est née le 30 mai [bsky, 12 points, 0 comments]
- This is a big deal. Also, Joan Birman is 99 years old and still going! https://arxiv.org/abs/2607.05283 [bsky, 2 points, 1 comments]
- The Burau representation of the braid group is faithful for n = 4 https://arxiv.org/abs/2607.05283 (https://news.ycombinator.com/item?id=49077209) [bsky, 0 points, 0 comments]
- The Burau representation of the braid group is faithful for n = 4 https:// arxiv.org/abs/2607.05283 # arxiv [mastodon, 0 points, 0 comments]
- The Burau representation of the braid group is faithful for n = 4 https:// arxiv.org/abs/2607.05283 Comments: https:// news.ycombinator.com/item?id=4 9077209 # HackerNews # BurauRepresentation # braid [mastodon, 0 points, 0 comments]
- The Burau representation of the braid group is faithful for n = 4 https://arxiv.org/abs/2607.05283 [comments] [35 points] [bsky, 0 points, 0 comments]
- The Burau representation of the braid group is faithful for n = 4 👉 99-year-old mathematician unraveled a century-old mystery #math arxiv.org/abs/2607.05283 [bsky, 0 points, 0 comments]
- The Burau representation of the braid group is faithful for n = 4 https://arxiv.org/abs/2607.05283 [bsky, 0 points, 0 comments]
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