A POLYNOMIAL INVARIANT FOR KNOTS VIA VON NEUMANN ALGEBRAS
Research partially supported by NSF grant no. MCS-8311687.
A theorem of J. Alexander [1] asserts that any tame oriented link in 3-space may be represented by a pair (b, n), where b is an element of the n-string braid group Bn. The link L is obtained by closing b, i.e., tying the top end of each string to the same position on the bottom of the braid as shown in Figure 1. The closed braid will be denoted b^…