In this article, we prove a result on the independence of for the supports of irreducible perverse sheaves occurring in the decomposition theorem, as well as for the family of local systems on each support. It generalizes Gabber’s result on the independence of of intersection cohomology to the relative case.
"Independence of for the supports in the decomposition theorem." Duke Math. J. 167 (10) 1803 - 1823, 15 July 2018. https://doi.org/10.1215/00127094-2017-0059