Mapping tori of small dilatation irreducible train-track maps

Yael Algom-Kfir; Kasra Rafi

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arXiv · 1209.5635

Mapping tori of small dilatation irreducible train-track maps

Yael Algom-Kfir·Kasra Rafi

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Abstract

We prove that for every P there is a bound B depending only on P so that the mapping torus of every P--small irreducible train-track map can be obtained by surgery from one of B mapping tori. We show that given an integer P>0 there is a bound $M$ depending only on P, so that there exists a presentation of the fundamental group of the mapping torus of a P--small irreducible train-track map with less than M generators and M relations.

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BibTeX RIS

Yael Algom-Kfir, Kasra Rafi. 2012-11-23. Mapping tori of small dilatation irreducible train-track maps. https://arxiv.org/abs/1209.5635

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