On Vassiliev knot invariants induced from finite type 3-manifold invariants期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On Vassiliev knot invariants induced from finite type 3-manifold invariants

Authors:	Matt Greenwood Xiao-Song Lin

Institution:	Department of Mathematics, Columbia University, New York, New York 10027 ; Department of Mathematics, University of California, Riverside, California 92521

Abstract:	We prove that the knot invariant induced by a $\mathbb{Z}$ -homology 3-sphere invariant of order $\leq k$ in Ohtsuki's sense, where $k\geq 4$ , is of order $\leq k-2$ . The method developed in our computation shows that there is no $\mathbb{Z}$ -homology 3-sphere invariant of order 5.

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