On Vassiliev knot invariants induced from finite type 3-manifold invariants
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- by Matt Greenwood and Xiao-Song Lin PDF
- Trans. Amer. Math. Soc. 351 (1999), 3659-3672 Request permission
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.References
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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
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 3659-3672
- MSC (1991): Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9947-99-02139-X
- MathSciNet review: 1467465