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.
|Number of pages||30|
|Journal||BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA|
|Publication status||Published - 2013|
- Pure braid groups, higher order braid invariants, flat connections, Chen iterated integrals, hyperlogarithms