Abstract

We investigate the abelian category which is the target of intersection homology. Recall that, given a stratified space X , we get intersection homology groups I x HnX depending on the choice of an n–perversity x p . The n–perversities form a lattice, and we can think of IHnX as a functor from this lattice to abelian groups, or more generally R–modules. Such perverse R–modules form a closed symmetric monoidal abelian category. We study this category and its associated homological algebra.

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