A note on the existence of essential tribranched surfaces

Stefan Friedl; Takahiro Kitayama; Matthias Nagel

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arXiv · 1505.01806

A note on the existence of essential tribranched surfaces

Stefan Friedl·Takahiro Kitayama·Matthias Nagel

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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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Stefan Friedl, Takahiro Kitayama, Matthias Nagel. 2015-05-07. A note on the existence of essential tribranched surfaces. https://arxiv.org/abs/1505.01806

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