A note on the existence of essential tribranched surfaces

2015/05/07 by Friedl, Stefan, Kitayama, Takahiro, Nagel, Matthias
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1505.01806

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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