Refined open noncommutative Donaldson–Thomas invariants for small crepant resolutions

摘要

The aim of this paper is to study an analog of non-commutativeDonaldson-Thomas theory corresponding to the refined topological vertex forsmall crepant resolutions of toric Calabi-Yau 3-folds. We define the invariantsusing dimer models and provide "wall-crossing" formulas. In particular, we getnormalized generating functions which are unchanged under "wall-crossing".