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R-mode instabilities lead to specific signatures in the evolution of rotatingpulsars, and may provide a unique signature which can identify the phase ofmatter that exists in the interiors of such objects.  The contributions of quarks' bulk and shear viscosities to the dissipation ofr-mode instabilities are studied. It is shown that (contrary to earlier works)the quark contribution is \emph{not} fully suppressed in the presence of fullygapped color-superconducting phase due to the fact that the bulk viscosity is aresonance effect between the density oscillation on one side, and theinteraction rates that try to restore $\beta$-equilibrium during theseoscillations on the other. This will have an effect on the structure of ther-mode instability window and will affect the angular momentum evolution ofpulsars.

Quark contribution to r-mode instabilities for several phases of deconfined quark matter