Towards motivic quantum cohomology of $\bar{M}_{0,S}$
  We explicitly calculate some Gromov--Witten correspondences determined by maps of labeled curves of genus zero to the moduli spaces of labeled curves of genus zero. We consider these calculations as the first step towards studying the self--referential nature of motivic quantum cohomology. 
Yuri I. Manin, Maxim Smirnov
math.AG