Canonical formulation of gravitational teleparallelism in 2+1 dimensions in Schwinger's time gauge

We consider the most general class of teleparallel gravitational theories q uadratic in the torsion tensor, in three space-time dimensions, and carry o ut a detailed investigation of its Hamiltonian formulation in Schwinger's t ime gauge. This general class is given by a family of three-parameter theor ies. A consistent implementation of the Legendre transform reduces the orig inal theory to a one-parameter family of theories. By calculating the Poiss on brackets, we show explicitly that the constraints of the theory constitu te a first-class set. Therefore, the resulting theory is well defined with regard to time evolution. The structure of the Hamiltonian theory rules out the existence of the Newtonian limit.