Nori's fundamental group of nilpotent bundles is uniquely determined by H¹(X, O_X), H²(X, O_X) and the cup product on a geometrically connected smooth proper variety over a char-0 field.
Unipotent homotopy theory of schemes.Journal of the American Mathematical Society, 39(1):205–312
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On iterated universal extensions and Nori's fundamental group of nilpotent bundles
Nori's fundamental group of nilpotent bundles is uniquely determined by H¹(X, O_X), H²(X, O_X) and the cup product on a geometrically connected smooth proper variety over a char-0 field.