arXiv · math/0503636
The general structure of the paper should be remaid. Hence author removed this paper from arXiv.
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R. V. M. 2006-10-24. On Some Aspects of 4-Dimensional Topology: A Popular Survey. https://arxiv.org/abs/math/0503636
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In this paper we use ideas introduced earlier by Moody, Long, Long-Paton, and Bigelow to prove the theorem of the title, that the Burau representation of the classical braid group is faithful for n = 4. An immediate corollary is that the Jones representation of the braid group is also faithful for n = 4.
We exhibit an annular knot with wrapping number four whose Kauffman bracket has annular degree at most two. This disproves the wrapping number conjecture.
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