  Broken symmetry states characterizing density waves of higher angular
momentum in correlated electronic systems are intriguing objects. In the scheme
of characterization by angular momentum, conventional charge and spin density
waves correspond to zero angular momentum. Here we explore a class of exotic
density wave states that have topological properties observed in recently
discovered topological insulators. These rich topological density wave states
deserve closer attention in not only high temperature superconductors but in
other correlated electron states, as in heavy fermions, of which an explicit
example will be discussed.The state discussed has non-trivial charge $2e$
skyrmionic spin texture. These skyrmions can condense into a charged
superfluid. Alternately, they can fractionalize into merons and anti-merons.
The fractionalized particles that are confined in skyrmions in the insulating
phase, can emerge at a deconfined quantum critical point, which separates the
insulating and the superconducting phases. These fractional particles form a
two-component spin-singlet chiral $(d_{x^2-y^2}\pm id_{xy})$ wave
superconducting state that breaks time reversal symmetry. Possible connections
of this exotic order to the superconducting state in the heavy-fermion material
URu$_2$Si$_2$ are suggested. The direct evidence of such a chiral
superconducting state is polar Kerr effect that was observed recently.
