A note on an example of Birman-Montesinos
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- by Takeshi Kaneto
- Proc. Amer. Math. Soc. 83 (1981), 425-426
- DOI: https://doi.org/10.1090/S0002-9939-1981-0624945-0
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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.References
- Joan S. Birman and José María Montesinos, On minimal Heegaard splittings, Michigan Math. J. 27 (1980), no. 1, 47–56. MR 555836
- Friedhelm Waldhausen, Heegaard-Zerlegungen der $3$-Sphäre, Topology 7 (1968), 195–203 (German). MR 227992, DOI 10.1016/0040-9383(68)90027-X —, Some problems on $3$-manifolds, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, R.I., 1978, pp. 313-322.
Bibliographic Information
- © Copyright 1981 American Mathematical Society
- 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