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On the Alexander polynomials of knots with Gordian distance one

✍ Scribed by Akio Kawauchi


Book ID
113933841
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
245 KB
Volume
159
Category
Article
ISSN
0166-8641

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Let K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold branched covering of S3 branched over K, we give some relations among the Jones polynomial, the signature, and the Conway polynomial of K, and prove that some knots are of unknotting number two.