  We use the Chern-Simons (CS) fermion representation of s =1/2 spin operators
to construct topological, long-range magnetically ordered states of interacting
two-dimensional (2D) quantum spin models. We show that the fermion-fermion
interactions mediated by the dynamic CS flux attachment may give rise to Cooper
pairing of the fermions. Specifically, in an XY model on the honeycomb lattice,
this construction leads to a "CS superconductor," which belongs to a
topologically non-trivial in 2D symmetry class DIII, with particle-hole and
time-reversal symmetries. It is shown that in the original spin language, this
state corresponds to a symmetry protected topological state, which coexists
with a magnetic long-range order. We discuss physical manifestations of the
topological character of the corresponding state and requirements for models
that could host it.
