Band-sums are ribbon concordant

to the connected sum

Author:
Katura Miyazaki

Journal:
Proc. Amer. Math. Soc. **126** (1998), 3401-3406

MSC (1991):
Primary 57M25; Secondary 57Q60

DOI:
https://doi.org/10.1090/S0002-9939-98-04352-4

MathSciNet review:
1451821

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Abstract | References | Similar Articles | Additional Information

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.

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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:
https://doi.org/10.1090/S0002-9939-98-04352-4

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

Article copyright:
© Copyright 1998
American Mathematical Society