%0 Journal Article %T Non-Abelian Hopf Cohomology %A Philippe Nuss %A Marc Wambst %J Mathematics %D 2005 %I arXiv %X We introduce non-abelian cohomology sets of Hopf algebras with coefficients in Hopf modules. We prove that these sets generalize Serre's non-abelian group cohomology theory. Using descent techniques, we establish that our construction enables to classify as well twisted forms for modules over Hopf-Galois extensions as torsors over Hopf-modules. %U http://arxiv.org/abs/math/0511712v2