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2 results for “Venzke”

Minimum dilatations of pseudo-Anosov braidsmath.GT

We find the minimum dilatation of pseudo-Anosov braids with many strands.

problem Finding the minimum dilatation of pseudo-Anosov braids with a large number of strands.

method Analyzing examples of Hironaka-Kin and Venzke to determine the minimum dilatation.

result The minimum dilatation is approximately 13.928 for large

n

pseudo-Anosov braids dilatation Hironaka-Kin Venzke minimum dilatation

2024-12-02abs ↗pdf ↗

Volumes of chain linksmath.GT

Agol has conjectured that minimally twisted n-chain links are the smallest volume hyperbolic manifolds with n cusps, for n at most 10. In his thesis, Venzke mentions that these cannot be smallest volume for n at least 11, but does not provide a proof. In this paper, we give a proof of Venzke's statement for a number of…

2011-07-14abs ↗pdf ↗