A new relationship between the dilatation of pseudo-Anosov braids and fixed point theory

Yumehito Kawashima

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arXiv · 1801.04790

A new relationship between the dilatation of pseudo-Anosov braids and fixed point theory

Yumehito Kawashima

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Abstract

A relation between the dilatation of pseudo-Anosov braids and fixed point theory was studied by Ivanov. In this paper we reveal a new relationship between the above two subjects by showing a formula for the dilatation of pseudo-Anosov braids by means of the representations of braid groups due to B. Jiang and H. Zheng.

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Yumehito Kawashima. 2018-01-15. A new relationship between the dilatation of pseudo-Anosov braids and fixed point theory. https://arxiv.org/abs/1801.04790

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