2011/02/28 by Masahito Yamazaki · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.CO #math.MP #math.PR #nlin.SI #msc:14N35 #msc:05A15 #msc:15B52
published as Publ.Res.Inst.Math.Sci.Kyoto B28:193,2011 · 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
arxiv created 2011/03/21 · arxiv updated 2015/03/18
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.