Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2

Qiu, Ruifeng

doi:10.1090/S0002-9939-00-05360-0

Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2
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Proc. Amer. Math. Soc. 128 (2000), 3091-3097 Request permission

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 $n$.

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