Mixed Hodge Structures on the Homotopy of Links.
The abelianization of the Johnson kernel
We prove that the first complex homology of the Johnson subgroup of the Torelli group is a non-trivial, unipotent -module for all and give an explicit presentation of it as a -module when . We do this by proving that, for a finitely generated group satisfying an assumption close to formality, the triviality of the restricted characteristic variety implies that the first homology of its Johnson kernel is a nilpotent module over the corresponding Laurent polynomial ring, isomorphic to the...
Nil-manifolds as links of isolated singularities
The existence of higher logarithms
On a generalization of Hilbert's 21st problem
The Hodge de Rham theory of relative Malcev completion
Real Grassmann polylogarithms and Chern classes.
Primitive elements in rings of holomorphic functions.
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