A partial order on multibranched surfaces in 3-manifolds

Makoto Ozawa

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arXiv · 1905.01055

A partial order on multibranched surfaces in 3-manifolds

Makoto Ozawa

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Abstract

In this paper, we introduce a partial order on neighborhood equivalence classes of maximally spread essential multibranched surfaces embedded in a 3-manifold. We show that if a maximally spread essential multibranched surface is atoroidal and acylindrical, then its equivalence class is minimal with respect to the partial order.

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BibTeX RIS

Makoto Ozawa. 2019-05-16. A partial order on multibranched surfaces in 3-manifolds. https://arxiv.org/abs/1905.01055

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