Transactions of the American Mathematical Society

Author(s): Matt Greenwood; Xiao-Song Lin
Journal: Trans. Amer. Math. Soc. 351 (1999), 3659-3672.
MSC (1991): Primary 57M25
Posted: May 3, 1999
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 57M25

Matt Greenwood
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
Email: matt@math.columbia.edu

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ISSN 1088-6850(e) ISSN 0002-9947(p)

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