Chern-Simons solutions of the chiral teleparallelism constraints of gravity

Canonical transformations to complex variables in the teleparallelism equivalent (GRparallel) of general relativity are generated by the translational boundary term idCTT. In this Yang-Mills type approach, states constructed from the spatial translational Chern-Simons term CTT with self- or anti-self-dual torsion solve the Ashtekar type Hamiltonian constraints. The corresponding instantons are explicitly constructed and their implications for Wilson type Cartan circuits are outlined