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$% Y. Mizuma, Ribbon knots of 1-fusion, the Jones polynomial, and the Casson-Walker invariant, Rev. Mat. Complut. 18 (2005), no. 2, 387–425.%$

Ribbon Knots of 1-Fusion, the Jones Polynomial, and the Casson-Walker Invariant

Yoko MIZUMA
(and an appendix by Tsuyoshi SAKAI)
Research Institute for Mathematical Sciences
Kyoto University
Sakyo-ku, Kyoto 606-8502 — Japan
mizuma@kurims.kyoto-u.ac.jp

Received: March 1, 2005
Accepted: April 5, 2005
ABSTRACT

We give an explicit formula for the Casson-Walker invariant of double branched covers of 3 S branched along ribbon knots of 1-fusion.

Key words: Ribbon knots of 1-fusion, Jones polynomial, Casson-Walker invariant.
2000 Mathematics Subject Classification: 57M27.