A Lower Bound on Unknotting Number*

Jiming Ma , Ruifeng Qiu

Chinese Annals of Mathematics, Series B ›› 2006, Vol. 27 ›› Issue (4) : 437 -440.

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Chinese Annals of Mathematics, Series B ›› 2006, Vol. 27 ›› Issue (4) : 437 -440. DOI: 10.1007/s11401-004-0390-z
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A Lower Bound on Unknotting Number*

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Abstract

In this paper the authors use a modified Wirtinger presentation to give a lower bound on the unknotting number of a knot in S 3.

Keywords

Unknotting number / Knot / Commutator subgroup / 57M05 / 57M25

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Jiming Ma, Ruifeng Qiu. A Lower Bound on Unknotting Number*. Chinese Annals of Mathematics, Series B, 2006, 27(4): 437-440 DOI:10.1007/s11401-004-0390-z

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References

[1]

Adams, C. C., The Knot Book, Freeman, New York, 1994.

[2]

Burde, G. and Zieschang, H., Knots, Walter de Gruyter, Berlin, New York, 1985.

[3]

Rolfsen, D., Knots and Links, Publish and Perish Inc., Berkeley, 1976.

[4]

Nakanishi, Y., A note on unknotting number, Math. Sem. Notes, Kobe University, 1981, 99–108.

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