  We claim that the charge density wave recently found by resonant soft x-ray
scattering in layered copper oxides is the tetragonal symmetry defined by the
distance between neighbor Cu$^{3+}$ ions in the CuO$_2$ layer that determines
the critical temperature. We find evidence that this tetragonal symmetry is a
skyrmionic state, which is responsible for an unusual magnetic order and charge
flow in the layers that leads to the breaking of the time reversal symmetry
below the pseudogap line. The core of the skyrmions form pockets of local
magnetic field piercing the superconducting layers in opposite direction to the
rest of the unit cell.
