A family of pseudo-Anosov braids with small dilatation

@inproceedings{Hironaka2005AFO,
  title={A family of pseudo-Anosov braids with small dilatation},
  author={Eriko Hironaka and E. Kin},
  year={2005}
}
  • Eriko Hironaka, E. Kin
  • Published 2005
This paper describes a family of pseudo-Anosov braids with small dilatation. The smallest dilatations occurring for braids with 3,4 and 5 strands appear in this family. A pseudo-Anosov braid with 2g + 1 strands determines a hyperelliptic mapping class with the same dilatation on a genus–g surface. Penner showed that logarithms of least dilatations of pseudo… CONTINUE READING