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

Access to Document

10.1142/S0218216513500259

Cite this

@article{04defa5095a0436183eed1441cd0e72b,

title = "A family of pseudo-Anosov braids with large conjugacy invariant sets",

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.",

keywords = "braid group, Conjugacy problem, pseudo-Anosov braid",

author = "An, \{Byung Hee\} and Ko, \{Ki Hyoung\}",

year = "2013",

month = may,

doi = "10.1142/S0218216513500259",

language = "English",

volume = "22",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific",

number = "6",

}

TY - JOUR

T1 - A family of pseudo-Anosov braids with large conjugacy invariant sets

AU - An, Byung Hee

AU - Ko, Ki Hyoung

PY - 2013/5

Y1 - 2013/5

N2 - 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.

AB - 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.

KW - braid group

KW - Conjugacy problem

KW - pseudo-Anosov braid

UR - https://www.scopus.com/pages/publications/84878642927

U2 - 10.1142/S0218216513500259

DO - 10.1142/S0218216513500259

M3 - Article

AN - SCOPUS:84878642927

SN - 0218-2165

VL - 22

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 6

M1 - 13500259

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this