The Lmo-invariant of 3-manifolds of Rank One and the Alexander Polynomial
نویسنده
چکیده
We prove that the LMO-invariant of a 3-manifold of rank one is determined by the Alexander polynomial of the manifold, and conversely, that the Alexander polynomial is determined by the LMO-invariant. Furthermore, we show that the Alexander polynomial of a null-homologous knot in a rational homology 3-sphere can be obtained by composing the weight system of the Alexander polynomial with the Århus invariant of knots. Mathematics Subject Classification (2000): 57M25, 57N65, 57M15.
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