English

Small braids having a big Ultra Summit Set

Geometric Topology 2009-06-02 v1 Group Theory

Abstract

In [J.Birman, V.Gebhardt, J.Gonzalez-Meneses, Conjugacy in Garside groups I: cyclings, powers and rigidity] authors asked: (open question 2) is the size of USS of a rigid pseudo-Anosov braid is bounded above by some polynomial in the number of strands and the braid length? We answer this question in the negative.

Cite

@article{arxiv.0906.0076,
  title  = {Small braids having a big Ultra Summit Set},
  author = {Maxim Prasolov},
  journal= {arXiv preprint arXiv:0906.0076},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T13:07:55.650Z