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Genus one knots which admit (1,1)-decompositions

Author(s): Hiroshi Matsuda
Journal: Proc. Amer. Math. Soc. 130 (2002), 2155-2163.
MSC (1991): Primary 57M25
Posted: December 31, 2001
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Abstract: We determine the knot types of genus one knots which admit genus one, one bridge decompositions.

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Additional Information:

Hiroshi Matsuda
Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan
Email: matsuda@ms.u-tokyo.ac.jp

DOI: 10.1090/S0002-9939-01-06314-6
PII: S 0002-9939(01)06314-6
Keywords: (1, 1)-decomposition, genus one Seifert surface
Received by editor(s): April 24, 2000
Received by editor(s) in revised form: February 1, 2001
Posted: December 31, 2001
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2001, American Mathematical Society

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