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math.GT2002
The Lawrence-Krammer representation
Stephen Bigelow
The Lawrence-Krammer representation of the braid groups recently came to prominence when it was shown to be faithful by myself and Krammer. It is an action of the braid group on a…
math.GT2002
A homological definition of the Jones polynomial
Stephen Bigelow
We give a new definition of the Jones polynomial. Let L be an oriented knot or link obtained as the plat closure of a braid beta in B_{2n}. We define a covering space tilde{C} of t…