Fixed points for positive permutation braids

Michał Misiurewicz; Ana Rodrigues

Fundamenta Mathematicae (2012)

  • Volume: 216, Issue: 2, page 129-146
  • ISSN: 0016-2736

Abstract

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Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.

How to cite

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Michał Misiurewicz, and Ana Rodrigues. "Fixed points for positive permutation braids." Fundamenta Mathematicae 216.2 (2012): 129-146. <http://eudml.org/doc/282695>.

@article{MichałMisiurewicz2012,
abstract = {Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.},
author = {Michał Misiurewicz, Ana Rodrigues},
journal = {Fundamenta Mathematicae},
keywords = {braid groups; mapping class group; periodic orbit; conjugacy class; suspension flow; Nielsen class; index; homeomorphism; winding number},
language = {eng},
number = {2},
pages = {129-146},
title = {Fixed points for positive permutation braids},
url = {http://eudml.org/doc/282695},
volume = {216},
year = {2012},
}

TY - JOUR
AU - Michał Misiurewicz
AU - Ana Rodrigues
TI - Fixed points for positive permutation braids
JO - Fundamenta Mathematicae
PY - 2012
VL - 216
IS - 2
SP - 129
EP - 146
AB - Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.
LA - eng
KW - braid groups; mapping class group; periodic orbit; conjugacy class; suspension flow; Nielsen class; index; homeomorphism; winding number
UR - http://eudml.org/doc/282695
ER -

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