New torsion structure on Riemann-Cartan manifold and knots

The projection geometry structure of torsion on 3 dimensional Riemann-Cartan manifold have been studied. It shows that the geometry origin of linking number may correspond to the projection torsion structure via both Chern-Simons theory and Witten's topological field theory. Furthermore, it is also indicated lines by means of a quantization method in which the quantum number is determined by Hopf indices and Brouwer degree that wilson loops may defect lines