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math.GR2005★ 4 cited
A class of Garside groupoid structures on the pure braid group
Daan Krammer
We construct a class of Garside groupoid structures on the pure braid groups, one for each function (called labelling) from the punctures to the integers greater than 1. The object…
math.GR2004
Braid groups are linear
Daan Krammer
In a previous work [11], the author considered a representation of the braid group ρ: B_n\to GL_m(\Bbb Z[q^{\pm 1},t^{\pm 1}]) (m=n(n-1)/2), and proved it to be faithful for n=4. B…