A family of pseudo-Anosov braids with large conjugacy invariant sets

Details A family of pseudo-Anosov braids with large conjugacy invariant sets A family of pseudo-Anosov braids with large conjugacy invariant sets

2012-03-11

arxiv.org/abs/1203.2320v1

Mathematics

Geometric Topology

16 pages, 6 figures

Scientific paper

We show that there is a family of pseudo-Anosov braids independently
parameterized by the braid index and the (canonical) length whose smallest
conjugacy invariant sets grow exponentially in the braid index and linearly in
the length and conclude that the conjugacy problem remains exponential in the
braid index under the current knowledge.

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