  We study a two-dimensional model of topological superconductor with equal
spin pairing and repulsive Hubbard interaction. When the pairing gap equals to
the hopping constant, half of the spectrum of this model are flat bands, which
makes this model exact solvable. The band structure and topological properties
of the exact solutions of the interacting model are analyzed in details. It is
found that the ground state corresponds to a staggered distribution of the
conserved quantities.
