Topological polylogarithms and p-adic interpolation of L-values of totally real fields

We develop the topological polylogarithm which provides an integral version of Nori's Eisenstein cohomology classes for and yields classes with values in an Iwasawa algebra. This implies directly the integrality properties of special values of L-functions of totally real fields and a construction of the associated p-adic L-function. Using a result of Graf, we also apply this to prove some integrality and p-adic interpolation results for the Eisenstein cohomology of Hilbert modular varieties.