Affiliation:
1. Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan
Abstract
We give surgery formulas for the Ohtsuki invariants λ1, λ2and λ3of an integral homology sphere obtained by surgery from S3along a knot, related to Habiro's cyclotomic expansion of the colored Jones polynomial of the knot. As an application, we prove that the Ohtsuki invariants λ1, λ2and λ3separate integral homology 3-spheres obtained from S3by surgery along the Borromean rings.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory