Geometric triangulations of a family of hyperbolic 3-braids

Barbara Nimershiem

doi:10.2140/agt.2023.23.4309

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arXiv · 2108.09349

Geometric triangulations of a family of hyperbolic 3-braids

Barbara Nimershiem

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Abstract

We construct topological triangulations for complements of $(-2,3,n)$-pretzel knots and links with $n\ge7$. Following a procedure outlined by Futer and Gu\'eritaud, we use a theorem of Casson and Rivin to prove the constructed triangulations are geometric. Futer, Kalfagianni, and Purcell have shown (indirectly) that such braids are hyperbolic. The new result here is a direct proof.

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Barbara Nimershiem. 2021-08-20. Geometric triangulations of a family of hyperbolic 3-braids. https://doi.org/10.2140/agt.2023.23.4309

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