Small braids having a big Ultra Summit Set

Mathematics – Geometric Topology

Scientific paper

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10 pages

Scientific paper

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.

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