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Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2 |
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| Authors: | Ruifeng Qiu |
| Affiliation: | Department of Mathematics, Jilin University, Changchun 130023, People's Republic of China |
| Abstract: | In this paper, we shall prove that for any integer |
| Keywords: | Heegaard genus incompressible surface |
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, 1) a handlebody of genus 2 contains a separating incompressible surface of genus 
, 2) there exists a closed 3-manifold of Heegaard genus 
which contains a separating incompressible surface of genus 
.