Answers are grounded in this paper and cite their sources.
We establish a link between the new theory of q-deformed rational numbers and the classical Burau representation of the braid group B₃. We apply this link to the open problem of classification of faithful complex specializations of this representation. As a result we provide an answer to this problem in terms of the singular set of the q-rationals and prove the faithfulness of the Burau representation specialized at complex t∈ C* outside the annulus 3-2√ 2 ≤ |t| ≤ 3+2√ 2.
No takes yet. Share an insight, caveat, or question.
Morier-Genoud et al. (2024) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: