English

Image of the Burau Representation at $d$-th Roots of unity

Group Theory 2015-03-31 v3

Abstract

We prove that the image of the Full braid group Bn+1B_{n+1} on n+1n+1 strands under the Burau representation, evaluated at a primitive dd-th root of unity is arithmetic provided ndn\geq d.

Keywords

Cite

@article{arxiv.1205.6543,
  title  = {Image of the Burau Representation at $d$-th Roots of unity},
  author = {Tyakal N. Venkataramana},
  journal= {arXiv preprint arXiv:1205.6543},
  year   = {2015}
}

Comments

To appear in Annals of Mathematics. arXiv admin note: text overlap with arXiv:1204.4778