Abstract
We present a covariant canonical formalism for noncommutative (NC) gravity, and in general for NC geometric theories defined via a twisted -wedge product between forms. Noether theorems are generalized to the NC setting, and gauge generators are constructed in a twisted phase space with -deformed Poisson bracket. This formalism is applied to NC d = 4 vierbein gravity, and allows to find the canonical generators of the tangent space -gauge group.
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