Mixed Hodge Structures on the rational homotopy type of intersection spaces (1604.05606v1)

Abstract: 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.