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Proceedings of the American Mathematical Society

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

 

 

A note on an example of Birman-Montesinos


Author: Takeshi Kaneto
Journal: Proc. Amer. Math. Soc. 83 (1981), 425-426
MSC: Primary 57N10
DOI: https://doi.org/10.1090/S0002-9939-1981-0624945-0
MathSciNet review: 624945
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Abstract: We will report the negative solution to a conjecture of Birman-Montesinos about their example of Heegaard diagram. This implies the negative answer to a question of Waldhausen related to minimal Heegaard splittings of $ 3$-manifolds.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0624945-0
Keywords: $ 3$-manifolds, minimal Heegaard splittings, pseudominimal Heegaard diagrams
Article copyright: © Copyright 1981 American Mathematical Society