Euler characteristics for spaces of string links and the modular   envelope of $L_\infty$
  We make calculations in graph homology which further understanding of the topology of spaces of string links, in particular calculating the Euler characteristics of finite-dimensional summands in their homology and homotopy. In doing so, we also determine the supercharacter of the symmetric group action on the positive arity components of the modular envelope of $L_\infty$. 
Paul Arnaud Songhafouo Tsopm\'en\'e, Victor Turchin
math.AT