  We numerically address the issue of how the ground state topology is
reflected in the finite temperature dynamics of the $\pm J$ Edwards-Anderson
spin glass model. In this system a careful study of the ground state
configurations allows to classify spins into two sets: solidary and
non-solidary spins. We show that these sets quantitatively account for the
dynamical heterogeneities found in the mean flipping time distribution at
finite low temperatures. The results highlight the relevance of taking into
account the ground state topology in the analysis of the finite temperature
dynamics of spin glasses.
