1997/11/08 by Jerome Levine, Levine, Jerome
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #q-alg
paper · pdf · doi:10.48550/arxiv.q-alg/9711007
20 pages, LaTeX, 9 figures using BoxedEPS
arxiv created 1997/11/08 · arxiv updated 2009/11/30
A string link S can be closed in a canonical way to produce an ordinary closed link L. We also consider a twisted closing which produces a knot K. We give a formula for the Conway polynomial of L as a product of the Conway polynomial of K times a power series whose coefficients are given as explicit functions of the Milnor invariants of S. One consequence is a formula for the first non-vanishing coefficient of the Conway polynomial of L in terms of the Milnor invariants of L. There is an analogous factorization of the multivariable Alexander polynomial.