On a Hodge theoretic property of the Kuenneth map in periodic cyclic   homology
  We prove that the standard K\"unneth map in periodic cyclic homology of differential Z/2-graded algebras is compatible with a generalization of the Hodge filtration and explain how this result is related to various Thom-Sebastiani type theorems in singularity theory. 
Dmytro Shklyarov
math.AG