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Band-sums are ribbon concordant to the connected sum
Author(s):
Katura
Miyazaki
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3401-3406.
MSC (1991):
Primary 57M25;
Secondary 57Q60
MathSciNet review:
1451821
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Abstract:
We show that an arbitrary band-connected sum of two or more knots are ribbon concordant to the connected sum of these knots. As an application we consider which knot can be a nontrivial band-connected sum.
References:
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Additional Information:
Katura
Miyazaki
Affiliation:
Faculty of Engineering, Tokyo Denki University, 2-2 Kanda-Nishikicho, Tokyo 101, Japan
Email:
miyazaki@cck.dendai.ac.jp
DOI:
10.1090/S0002-9939-98-04352-4
PII:
S 0002-9939(98)04352-4
Keywords:
Band-connected sum,
concordance,
ribbon concordance,
fibered knot
Received by editor(s):
November 12, 1996
Received by editor(s) in revised form:
February 12, 1997
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
1998,
American Mathematical Society
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