OHTSUKI INVARIANTS FOR INTEGRAL HOMOLOGY SPHERES AND HABIRO'S CYCLOTOMIC EXPANSION
2009 ◽
Vol 18
(01)
◽
pp. 21-31
Keyword(s):
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.
2008 ◽
Vol 17
(08)
◽
pp. 925-937
2019 ◽
Vol 28
(08)
◽
pp. 1950050
2004 ◽
Vol 15
(09)
◽
pp. 959-965
◽
2007 ◽
Vol 773
(3)
◽
pp. 184-202
◽
2017 ◽
Vol 26
(03)
◽
pp. 1741002
◽
Keyword(s):
2010 ◽
Vol 223
(6)
◽
pp. 2114-2165
◽