Geometry and Combinatorics of Crystal Melting
  We survey geometrical and especially combinatorial aspects of generalized Donaldson-Thomas invariants (also called BPS invariants) for toric Calabi-Yau manifolds, emphasizing the role of plane partitions and their generalizations in the recently proposed crystal melting model. We also comment on equivalence with a vicious walker model and the matrix model representation of the partition function. 
Masahito Yamazaki
math-ph hep-th math.CO math.MP math.PR nlin.SI