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2019 Least dilatation of pure surface braids
Marissa Loving
Algebr. Geom. Topol. 19(2): 941-964 (2019). DOI: 10.2140/agt.2019.19.941

Abstract

We study the minimal dilatation of pseudo-Anosov pure surface braids and provide upper and lower bounds as a function of genus and the number of punctures. For a fixed number of punctures, these bounds tend to infinity as the genus does. We also bound the dilatation of pseudo-Anosov pure surface braids away from zero and give a constant upper bound in the case of a sufficient number of punctures.

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Marissa Loving. "Least dilatation of pure surface braids." Algebr. Geom. Topol. 19 (2) 941 - 964, 2019. https://doi.org/10.2140/agt.2019.19.941

Information

Received: 17 February 2018; Revised: 31 July 2018; Accepted: 13 August 2018; Published: 2019
First available in Project Euclid: 19 March 2019

zbMATH: 07075117
MathSciNet: MR3924180
Digital Object Identifier: 10.2140/agt.2019.19.941

Subjects:
Primary: 37E30
Secondary: 20F36, 20F65, 30F60, 37B40, 37D20, 57M07, 57M99

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 2 • 2019
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