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• W2019746019 abstract "Using elementary counting methods, we calculate a universal perturbative invariant (also known as the LMO invariant) of a 3-manifold M, satisfying $H_1(M,mathbb{Z})=mathbb{Z}$ , in terms of the Alexander polynomial of M. We show that +1 surgery on a knot in the 3-sphere induces an injective map from finite type invariants of integral homology 3-spheres to finite type invariants of knots. We also show that weight systems of degree 2m on knots, obtained by applying finite type 3m invariants of integral homology 3-spheres, lie in the algebra of Alexander-Conway weight systems, thus answering the questions raised in [Ga]." @default.
• W2019746019 created "2016-06-24" @default.
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• W2019746019 date "2000-03-01" @default.
• W2019746019 modified "2023-10-14" @default.
• W2019746019 title "The Alexander polynomial and finite type 3-manifold invariants" @default.
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• W2019746019 doi "https://doi.org/10.1007/s002080050340" @default.
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