Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


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
Published electronically: May 3, 1999
MathSciNet review: 1467465
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 57M25

Retrieve articles in all journals with MSC (1991): 57M25

Additional Information

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

Xiao-Song Lin
Affiliation: Department of Mathematics, University of California, Riverside, California 92521

PII: S 0002-9947(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

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia