Cluster ensembles, quantization and the dilogarithm
Vladimir V. Fock, Alexander B. Goncharov (2009)
Annales scientifiques de l'École Normale Supérieure
Similarity:
A cluster ensemble is a pair of positive spaces (i.e. varieties equipped with positive atlases), coming with an action of a symmetry group . The space is closely related to the spectrum of a cluster algebra [12]. The two spaces are related by a morphism . The space is equipped with a closed -form, possibly degenerate, and the space has a Poisson structure. The map is compatible with these structures. The dilogarithm together with its motivic and quantum avatars plays a central...