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Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2
Authors:Ruifeng Qiu
Institution:Department of Mathematics, Jilin University, Changchun 130023, People's Republic of China
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 $n$.

Keywords:Heegaard genus  incompressible surface
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