Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions
arXiv:0907.3784
Abstract
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".
40 pages, 16 figures, to appear in Pacific Journal of Mathematics
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Cited by in corpus (9)
- Quiver Yangian from Crystal Melting
- Quiver Yangian and Supersymmetric Quantum Mechanics
- Open BPS Wall Crossing and M-theory
- Dimer models and exceptional collections
- Refined matrix models from BPS counting
- Quiver Yangians and Crystal Melting: A Concise Summary
- Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs
- Non-commutative Donaldson-Thomas theory and vertex operators
- Exact Lefschetz fibrations associated with dimer models