On Vassiliev knot invariants induced

from finite type 3-manifold invariants

Authors:
Matt Greenwood and Xiao-Song Lin

Journal:
Trans. Amer. Math. Soc. **351** (1999), 3659-3672

MSC (1991):
Primary 57M25

DOI:
https://doi.org/10.1090/S0002-9947-99-02139-X

Published electronically:
May 3, 1999

MathSciNet review:
1467465

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that the knot invariant induced by a -homology 3-sphere invariant of order in Ohtsuki's sense, where , is of order . The method developed in our computation shows that there is no -homology 3-sphere invariant of order 5.

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Additional Information

**Matt Greenwood**

Affiliation:
Department of Mathematics, Columbia University, New York, New York 10027

Email:
matt@math.columbia.edu

**Xiao-Song Lin**

Affiliation:
Department of Mathematics, University of California, Riverside, California 92521

Email:
xl@math.ucr.edu

DOI:
https://doi.org/10.1090/S0002-9947-99-02139-X

Received by editor(s):
June 29, 1995

Received by editor(s) in revised form:
May 2, 1997

Published electronically:
May 3, 1999

Additional Notes:
The second author is supported in part by NSF

Article copyright:
© Copyright 1999
American Mathematical Society