  Concept of the topological order is useful to characterize anisotropic
superconductivities. The spin Hall conductance distinguishes
superconductivities with the same symmetry. The Chern number for the spin Hall
conductance is given by the covering degree of a closed surface around the
Dirac monopole. It gives a clear illustration for the on-critical condition for
the $d_{x^2-y^2}$ supreconductivitiy with non zero chemical potential. Non
trivial topological orders on the triangular lattice are also presented and
demonstrated by the topological objects.
