Journal
QUARTERLY JOURNAL OF MATHEMATICS
Volume 63, Issue 4, Pages 965-1007Publisher
OXFORD UNIV PRESS
DOI: 10.1093/qmath/har025
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Funding
- [22840023]
- [22224001]
- Grants-in-Aid for Scientific Research [23540045, 22840023, 24740009, 22224001] Funding Source: KAKEN
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We first construct a derived equivalence between a small crepant resolution of an affine toric Calabi-Yau 3-fold and a certain quiver with a superpotential. Under this derived equivalence, we establish a wall-crossing formula for the generating function of the counting invariants of perverse coherent sheaves. As an application, we provide some equations on Donaldson-Thomas, Pandharipande-Thomas and Szendroi's invariants.
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