English

Orientation data for coherent sheaves on the local projective plane

Algebraic Geometry 2020-09-14 v2

Abstract

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

Cite

@article{arxiv.1809.01776,
  title  = {Orientation data for coherent sheaves on the local projective plane},
  author = {Yun Shi},
  journal= {arXiv preprint arXiv:1809.01776},
  year   = {2020}
}
R2 v1 2026-06-23T03:55:58.116Z