Crystal melting, BPS quivers and plethystics

We study the refined and unrefined crystal/BPS partition functions of D6-D2-D0 brane bound states for all toric Calabi-Yau threefolds without compact 4-cycles some non-toric examples. They can be written as products (generalized) MacMahon functions. check our expressions use them vacuum characters to gluings. then consider wall crossings discuss possible crystal descriptions different chambers. also express in terms plethystic exponentials. For $\mathbb{C}^3$ tripled affine quivers, we find their connections nilpotent Kac polynomials. Similarly, D4-D2-D0 obtained by replacing with inverse Euler