Mathematics – Algebraic Geometry
Scientific paper
2009-07-22
Mathematics
Algebraic Geometry
40 pages, 16 figures, to appear in Pacific Journal of Mathematics
Scientific paper
The aim of this paper is to study an analog of non-commutative
Donaldson-Thomas theory corresponding to the refined topological vertex for
small crepant resolutions of toric Calabi-Yau 3-folds. We define the invariants
using dimer models and provide "wall-crossing" formulas. In particular, we get
normalized generating functions which are unchanged under "wall-crossing".
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