posted May 15, 2000, last updated Aug 12, 2004

joint with Ruth Lawrence

Israel
Journal of Mathematics **140** (2004) 29-60.

We write a formula for the LMO invariant of a rational homology
sphere presented as a rational surgery on a link in S^{3}.
Our main tool is a careful use of the Århus integral and the
(now proven) "Wheels" and "Wheeling" conjectures of B-N,
Garoufalidis, Rozansky and Thurston. As steps, side benefits and
asides we give explicit formulas for the values of the Kontsevich
integral on the Hopf link and on Hopf chains, and for the LMO
invariant of lens spaces and Seifert fibered spaces. We find that the
LMO invariant does not separate lens spaces, is far from separating
general Seifert fibered spaces, but does separate Seifert fibered
spaces which are integral homology spheres.

The paper: RationalSurgery.ps, RationalSurgery.pdf.

Source files: RationalSurgery.tar.gz.

See also arXiv:math.GT/0007045.

A mathematical landscape by Zarko D. Mijajlovich