Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2
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- by Ruifeng Qiu
- Proc. Amer. Math. Soc. 128 (2000), 3091-3097
- DOI: https://doi.org/10.1090/S0002-9939-00-05360-0
- Published electronically: May 2, 2000
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Abstract:
In this paper, we shall prove that for any integer $n>0$, 1) a handlebody of genus 2 contains a separating incompressible surface of genus $n$, 2) there exists a closed 3-manifold of Heegaard genus $2$ which contains a separating incompressible surface of genus $n$.References
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Bibliographic Information
- Ruifeng Qiu
- Affiliation: Department of Mathematics, Jilin University, Changchun 130023, People’s Republic of China
- Email: qrf@mail_jlu.edu.cn
- Received by editor(s): September 20, 1996
- Received by editor(s) in revised form: November 6, 1998
- Published electronically: May 2, 2000
- Additional Notes: This research was supported in part by the National Natural Science Foundation of China.
- Communicated by: Ronald A. Fintushel
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3091-3097
- MSC (2000): Primary 57N10
- DOI: https://doi.org/10.1090/S0002-9939-00-05360-0
- MathSciNet review: 1664371