Mixed Hodge Structures on the rational homotopy type of intersection   spaces
  Let $X$ a complex projective variety of complex dimension $n$ with only isolated singularities of simply connected links. We show that we can endow the rational cohomology of the family of the $\overline{p}$-perverse intersection spaces $\{ I^{\overline{p}}X \}$ with compatible mixed Hodge structures. 
Mathieu Klimczak
math.AT math.AG