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Branched Covers of Tangles in Three-balls

Published online by Cambridge University Press:  20 November 2018

Makiko Ishiwata ,
Józef H. Przytycki  and
Akira Yasuhara
Makiko Ishiwata
Affiliation:
Department of Mathematics Tokyo Woman's Christian University Zempukuji 2-6-1, Suginamiku Tokyo 167-8585 Japan, e-mail: mako@twcu.ac.jp
Józef H. Przytycki
Affiliation:
Department of Mathematics The GeorgeWashington University Washington, DC 20052 USA, e-mail: przytyck@gwu.edu
Akira Yasuhara
Affiliation:
Department of Mathematics Tokyo Gakugei University Nukuikita 4-1-1, Koganei Tokyo 184-8501 Japan, e-mail: yasuhara@u-gakugei.ac.jp
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Abstract

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We give an algorithm for a surgery description of a $p$-fold cyclic branched cover of ${{B}^{3}}$ branched along a tangle. We generalize constructions of Montesinos and Akbulut-Kirby.

Keywords

57M2557M12tanglebranched coversurgeryHeegaard decomposition
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 3 , 01 September 2003 , pp. 356 - 364
Copyright
Copyright © Canadian Mathematical Society 2003

References

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