Eisenstein cocycles for GL(n) and values of L-functions in imaginary   quadratic extensions
  We generalize Sczech's Eisenstein cocycle for $\mathrm{GL}(n)$ over totally real extensions of $\mathbb{Q}$ to finite extensions of imaginary quadratic fields. By evaluating the cocycle on certain cycles, we parametrize complex values of Hecke L-functions previously considered by Colmez, giving a cohomological interpretation of his algebraicity result on special values of the L-functions. 
Jorge Fl\'orez, Cihan Karabulut and Tian An Wong
math.NT