Morgan's mixed Hodge structures and nonabelian Hodge structures

Published 11 Sep 2018 in math.AG, math.AT, math.CV, math.DG, and math.KT | (1809.03716v2)

Abstract: We refine the Morgan's work on mixed Hodge structures on Sullivan's $1$--minimal models by using non-abelian Hodge theory. As an application, we give explicit representatives of real unipotent variations of mixed Hodge structures over compact K"ahler manifolds.