Orientation data for coherent sheaves on the local projective plane

Abstract

In this note, we show that the canonical orientation data on the quiver hearts are compatible under the autoequivalence $\_\otimes {\pi }^{\ast }O(1)$, and hence glue to give an orientation data for the stack of coherent sheaves on local P2.

References in corpus (5)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Calabi-Yau algebras
• A 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications
• Invariance of orientation data for ind-constructible Calabi-Yau $A_{\infty }$ categories under derived equivalence
• Gopakumar-Vafa invariants and wall-crossing

Cited by in corpus (1)

• D-critical loci for local toric Calabi-Yau 3-folds