Classification of the Discrete Real Specializations of the Burau Representation of $B_3$

Nancy Scherich

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arXiv · 1801.08203

Classification of the Discrete Real Specializations of the Burau Representation of $B_3$

Nancy Scherich

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Abstract

This classification is found by analyzing the action of a normal subgroup of $B_3$ as hyperbolic isometries. This paper gives an example of an unfaithful specialization of the Burau representation on $B_4$ that is faithful when restricted to $B_3$, as well as examples of unfaithful specializations of $B_3$.

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Nancy Scherich. 2018-01-24. Classification of the Discrete Real Specializations of the Burau Representation of $B_3$. https://arxiv.org/abs/1801.08203

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