  Using a variation of Lueschers geometric charge definition for SU(2) lattice
gauge theory, we have managed to give a geometric expression for it's
Chern-Simons ter. From this definition we have checked the periodic structure.
we determined the Chern-Simons density for symmetric and asymmetric lattices
near the critical region in the SU(2) Higgs model. The data indicate that
tunneling is increased at high temperature.
