A Standard Form for Incompressible Surfaces in a Handlebody

Linda E. Green

A Standard Form for Incompressible Surfaces in a Handlebody

Geometric Topology 2016-09-06 v1

Authors: Linda E. Green

Abstract

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.

Keywords

surfaces and embeddings manifolds

Cite

@article{arxiv.math/9609208,
  title  = {A Standard Form for Incompressible Surfaces in a Handlebody},
  author = {Linda E. Green},
  journal= {arXiv preprint arXiv:math/9609208},
  year   = {2016}
}

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