A Standard Form for Incompressible Surfaces in a Handlebody

Details A Standard Form for Incompressible Surfaces in a Handlebody A Standard Form for Incompressible Surfaces in a Handlebody

1996-09-18

arxiv.org/abs/math/9609208v1

Mathematics

Geometric Topology

Scientific paper

Let $\F$ be a compact surface and let $I$ be the unit interval. This paper
gives a standard form for all 2-sided incompressible surfaces in the
3-manifold $\F \times I$. Since $\F \times I$ is a handlebody when $\F$ has
boundary, this standard form applies to incompressible surfaces in a
handlebody.

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