Low-dimensional pure braid group representations via nilpotent flat connections

Mauro Spera, Alberto Benvegnù

Research output: Contribution to journalArticlepeer-review

1 Citation (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.
Original languageEnglish
Pages (from-to)643-672
Number of pages30
JournalBOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
VolumeVI (2013)
Publication statusPublished - 2013

Keywords

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

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