Geodesic
Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 643-672 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

Voir la notice de l'article

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. 
@article{BUMI_2013_9_6_3_a8,
     author = {Benvegn\`u, Alberto and Spera, Mauro},
     title = {Low-Dimensional {Pure} {Braid} {Group} {Representations} {Via} {Nilpotent} {Flat} {Connections}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {643--672},
     year = {2013},
     volume = {Ser. 9, 6},
     number = {3},
     mrnumber = {3202844},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a8/}
}
TY  - JOUR
AU  - Benvegnù, Alberto
AU  - Spera, Mauro
TI  - Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections
JO  - Bollettino della Unione matematica italiana
PY  - 2013
SP  - 643
EP  - 672
VL  - 6
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a8/
LA  - en
ID  - BUMI_2013_9_6_3_a8
ER  - 
%0 Journal Article
%A Benvegnù, Alberto
%A Spera, Mauro
%T Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections
%J Bollettino della Unione matematica italiana
%D 2013
%P 643-672
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a8/
%G en
%F BUMI_2013_9_6_3_a8
Benvegnù, Alberto; Spera, Mauro. Low-Dimensional Pure Braid Group Representations Via Nilpotent Flat Connections. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 643-672. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a8/