Constructible sheaves on simplicial complexes and Koszul duality

We obtain a linear algebra data presentation of the category ${\Cal {SH}_c} (X,\delta)$ of sheaves constant along the perverse simplices on a finite simplicial complex $X$. We also establish Koszul duality between ${\Cal {SH}_c} (X,\delta)$ and the category ${\Cal {M}_c} (X,\delta)$ of perverse sheaves constructible with respect to the triangulation.

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Published 1 January 1998