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Classification of the real discrete specialisations of the Burau representation of B3

Published online by Cambridge University Press:  09 October 2018

NANCY SCHERICH
NANCY SCHERICH*
Affiliation:
Department of Mathematics, South Hall, Room 6607, University of California Santa Barbara, CA 93106-3080, U.S.A. e-mail: [email protected]
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Abstract

This classification is found by analyzing the action of a normal subgroup of B3 as hyperbolic isometries. This paper gives an example of an unfaithful specialisation of the Burau representation on B4 that is faithful when restricted to B3, as well as examples of unfaithful specialisations of B3.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 168 , Issue 2 , March 2020 , pp. 295 - 304
Copyright
Copyright © Cambridge Philosophical Society 2018 

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References

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