Abstrakt
We translate the main result of [11] to the language of formal geometry. In this new setting we prove directly that the Koszul resp.
Borjeson braces are pullbacks of linear vector fields over the formal automorphism ϕ(a) = exp(a) MINUS SIGN 1 in the Koszul, resp. ϕ(a) = a(1-a)^-1 in the Borjeson case. We then argue that both braces are versions of the same object, once materialized in the world of formal commutative geometry, once in the noncommutative one.
