Geometric triangulations of a family of hyperbolic 3-braids


Abstract in English

We construct topological triangulations for complements of $(-2,3,n)$-pretzel knots and links with $nge7$. Following a procedure outlined by Futer and Gueritaud, 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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