CANONICAL FORMULATIONS OF FULL NONLINEAR TOPOLOGICALLY MASSIVE GRAVITY

First-order forms of the complete nonlinear Einstein plus Chern - Simons third-derivative-order action are exhibited in both metric and dreibein forms. The "hamiltonians" are combinations of diffeomorphism and tangent space rotation generators as expected of generally covariant systems: the pure Chern - Simons hamiltonian has an additional, conformal transformation, term. These constraints reduce the apparent number of degrees of freedom to 1 and 0 respectively. The constraint algebras close, as required by this counting without second-class constraints. The nature of the noninvariant terms in the Chern - Simons lagrangian density is discussed. For comparison, the linearized limit and the corresponding nonabelian vector action's canonical form are also given.