On the minimum dilatation of braids on punctured discs

Details On the minimum dilatation of braids on punctured discs On the minimum dilatation of braids on punctured discs

2010-04-29

arxiv.org/abs/1004.5344v1

Geometriae Dedicata 152 (1) 165-182, June 2011

Mathematics

Geometric Topology

16 pages, LaTeX with amsart style. Mathematica source code included.

Scientific paper

10.1007/s10711-010-9551-2

We find the minimum dilatation of pseudo-Anosov braids on n-punctured discs
for 3 <= n <= 8. This covers the results of Song-Ko-Los (n=4) and Ham-Song
(n=5). The proof is elementary, and uses the Lefschetz formula.

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