Remarks on the faithfulness of the Jones representations
Geometric Topology
2008-03-04 v1
Abstract
We consider the linear representations of the mapping class group of an n-punctured 2-sphere constructed by V. F. R. Jones using Iwahori-Hecke algebras of type A. We show that their faithfulness is equivalent to that of certain related Iwahori-Hecke algebra representation of Artin's braid group of n-1 strands. In the case of n=6, we provide a further restriction for the kernel using our previous result, as well as a certain relation to the Burau representation of degree 4.
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Cite
@article{arxiv.0803.0304,
title = {Remarks on the faithfulness of the Jones representations},
author = {Yasushi Kasahara},
journal= {arXiv preprint arXiv:0803.0304},
year = {2008}
}
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9 pages