Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections

Alberto Benvegnù; Mauro Spera

Bollettino dell'Unione Matematica Italiana (2013)

  • Volume: 6, Issue: 3, page 643-672
  • ISSN: 0392-4041

Abstract

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In this note we discuss low-dimensional matrix representations of pure braid group (on three and four strands) obtained via holonomy of suitable nilpotent flat connections. Flatness is directly enforced by means of the Arnol'd relations. These explicit representations are used to investigate Brunnian and “nested” Brunnian phenomena.

How to cite

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Benvegnù, Alberto, and Spera, Mauro. "Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections." Bollettino dell'Unione Matematica Italiana 6.3 (2013): 643-672. <http://eudml.org/doc/294043>.

@article{Benvegnù2013,
abstract = {In this note we discuss low-dimensional matrix representations of pure braid group (on three and four strands) obtained via holonomy of suitable nilpotent flat connections. Flatness is directly enforced by means of the Arnol'd relations. These explicit representations are used to investigate Brunnian and “nested” Brunnian phenomena.},
author = {Benvegnù, Alberto, Spera, Mauro},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {643-672},
publisher = {Unione Matematica Italiana},
title = {Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections},
url = {http://eudml.org/doc/294043},
volume = {6},
year = {2013},
}

TY - JOUR
AU - Benvegnù, Alberto
AU - Spera, Mauro
TI - Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections
JO - Bollettino dell'Unione Matematica Italiana
DA - 2013/10//
PB - Unione Matematica Italiana
VL - 6
IS - 3
SP - 643
EP - 672
AB - In this note we discuss low-dimensional matrix representations of pure braid group (on three and four strands) obtained via holonomy of suitable nilpotent flat connections. Flatness is directly enforced by means of the Arnol'd relations. These explicit representations are used to investigate Brunnian and “nested” Brunnian phenomena.
LA - eng
UR - http://eudml.org/doc/294043
ER -

References

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