English

A note on the existence of essential tribranched surfaces

Geometric Topology 2015-05-08 v1

Abstract

The second author and Hara introduced the notion of an essential tribranched surface that is a generalisation of the notion of an essential embedded surface in a 3-manifold. We show that any 3-manifold for which the fundamental group has at least rank four admits an essential tribranched surface.

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Cite

@article{arxiv.1505.01806,
  title  = {A note on the existence of essential tribranched surfaces},
  author = {Stefan Friedl and Takahiro Kitayama and Matthias Nagel},
  journal= {arXiv preprint arXiv:1505.01806},
  year   = {2015}
}

Comments

8 pages, 1 figure