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Plans' Theorem for Links: an Application of tk Moves

Published online by Cambridge University Press:  20 November 2018

Józef H. Przytycki
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Abstract

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We use tk moves on links to prove that the first homology group with Z2-coefficients of an odd sheeted cyclic cover of S3 branched over a link is even dimensional.

Keywords

57M2557M12
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988 , pp. 325 - 327
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Burde, G., Zieschang, H., Knots, De Gruyter studies in Math. 5, Berlin, New York 1985.Google Scholar
2. Gordon, C. Mc A., A short proof of a theorem of Plans on the homology of the branched cyclic coverings of a knot, Bull. Amer. Math. Soc. 168 (1971), pp. 85–87.Google Scholar
3. Plans, A., Aportacion al estudio de los grupos de homologia de los recubrimientos ciclicos ramificados correspondiente a un nudo, Rev. Real. Acad. Cienc. Exact., Fisica y Nat. Madrid, 47 (1953), pp. 161–193.Google Scholar
4. Przytycki, J. H., tk moves on links, to appear in Proceedings of the Summer Research Conference on Artin's braid groups, Santa Cruz, 1986.Google Scholar
5. Rolfsen, D., Knots and links, Publish or Perish, Inc., Berkeley 1976, Math. Lect., Series 7.Google Scholar
6. Weber, C., La demonstration de J. Levine des théorème de A. Plans, Lect. Notes Math. 1051 (1984), pp. 315–330.Google Scholar