Orientation data for coherent sheaves on the local projective plane

preprint2020arXivOpen access

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

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Orientation data for coherent sheaves on the local projective plane

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