2 theories from cluster algebras
b partition function of the theory coincides with the cluster partition function defined from the pair (Q,m). Our formalism includes the case where 3d N = 2 theories arise from the compact- ification of the 6d (2,0) AN−1 theory on a large class of 3-manifolds M, including complements of arbitrary links in S 3 . In this case the quiver is defined from a 2d ideal triangulation, the mutation sequence represents an element of the mapping class group, and the 3-manifold is equipped with a canonical ideal triangulation. Our partition func- tion then coincides with that of the holomorphic part of the SL(N) Chern-Simons partition function on M.