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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 S3.

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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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Authors and Affiliations

  1. Institute of Mathematics, Peking University, Beijing 100871, China

    Jiming Ma

  2. Department of Mathematics, Dalian, University of Technology, Dalian, 116024, Liaoning, China

    Ruifeng Qiu

Authors
  1. Jiming Ma
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  2. Ruifeng Qiu
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Corresponding author

Correspondence to Jiming Ma.

Additional information

*Project supported by the National Natural Science Foundation of China (No.10171038).

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Ma, J., Qiu, R. A Lower Bound on Unknotting Number*. Chin. Ann. Math. Ser. B 27, 437–440 (2006). https://doi.org/10.1007/s11401-004-0390-z

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  • DOI: https://doi.org/10.1007/s11401-004-0390-z

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