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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Lower bounds for the unknotting numbers of certain torus knots


Author: Makoto Yamamoto
Journal: Proc. Amer. Math. Soc. 86 (1982), 519-524
MSC: Primary 57M25
MathSciNet review: 671228
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Abstract: In this paper we shall show that the unknotting numbers of the $ (l,2kl \pm 1)$-torus knots are at least $ (k({l^2} - 1) - 2)/2$ for $ l$ odd and $ (k{l^2} - 2)/2$ for $ l$ even, where $ l$ is an integer greater than one and $ k$ is a positive integer.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0671228-X
Keywords: Torus knot, torus link, unknotting number of a knot, genus of a knot
Article copyright: © Copyright 1982 American Mathematical Society