Geometry and Combinatorics of Crystal Melting
arXiv:1102.0776
Abstract
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.
21 pages, 6 figures, to appear in RIMS Kokyuroku Bessatsu, based on a talk at "Developments in Quantum Integrable Systems," RIMS, Kyoto University, June 2010; v2: typos corrected
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