Low-dimensional pure braid group representations via nilpotent flat connections

Alberto Benvegnù; Mauro Spera

Low-dimensional pure braid group representations via nilpotent flat connections

Alberto Benvegnù
, Mauro Spera

University of Verona

Risultato della ricerca: Contributo in rivista › Articolo › peer review

1 Citazioni (Scopus)

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.

Lingua originale	Inglese
pagine (da-a)	643-672
Numero di pagine	30
Rivista	BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
Volume	VI (2013)
Stato di pubblicazione	Pubblicato - 2013

Keywords

Pure braid groups, higher order braid invariants, flat connections, Chen iterated integrals, hyperlogarithms

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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{\textquoteright}d relations. These explicit representations are used to investigate Brunnian and “nested” Brunnian phenomena.",

keywords = "Pure braid groups, higher order braid invariants, flat connections, Chen iterated integrals, hyperlogarithms, Pure braid groups, higher order braid invariants, flat connections, Chen iterated integrals, hyperlogarithms",

author = "Alberto Benvegn{\`u} and Mauro Spera",

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AU - Spera, Mauro

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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.

KW - Pure braid groups, higher order braid invariants, flat connections, Chen iterated integrals, hyperlogarithms

UR - http://hdl.handle.net/10807/54856

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SN - 1972-6724

VL - VI (2013)

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ER -

Low-dimensional pure braid group representations via nilpotent flat connections

Abstract

Keywords

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