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

Byung Hee An; Ki Hyoung Ko

doi:10.1142/S0218216513500259

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

Byung Hee An, Ki Hyoung Ko

Department of Mathematics Education

Korea Advanced Institute of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We show that there is a family of pseudo-Anosov braids independently parametrized by the braid index and the (canonical) length whose smallest conjugacy invariant sets grow exponentially in the braid index and linearly in the length.

Original language	English
Article number	13500259
Journal	Journal of Knot Theory and its Ramifications
Volume	22
Issue number	6
DOIs	https://doi.org/10.1142/S0218216513500259
State	Published - May 2013

Keywords

braid group
Conjugacy problem
pseudo-Anosov braid

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10.1142/S0218216513500259

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abstract = "We show that there is a family of pseudo-Anosov braids independently parametrized by the braid index and the (canonical) length whose smallest conjugacy invariant sets grow exponentially in the braid index and linearly in the length.",

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

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Keywords

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