Minimal dilatation in Penner's construction

Abstract

For all orientable closed surfaces, we determine the minimal dilatation among mapping classes arising from Penner's construction. We also discuss generalisations to surfaces with punctures.

11 pages, 6 figures

References in corpus (1)

• On Coxeter mapping classes and fibered alternating links

Cited by in corpus (2)

• Minimal Penner dilatations on nonorientable surfaces
• Pseudo-Anosov maps with small stretch factors on punctured surfaces