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editAdd Examples
edit- https://web.archive.org/web/20200206215850/http://member.ipmu.jp/will.donovan/documents/notes/fourier-mukai.pdf has good examples of Fourier-Mukai transforms
- Fourier-Mukai as an auto-equivalence on the derived category, this is used to model monodromy. For example, check out https://arxiv.org/pdf/hep-th/0403166.pdf page 91
- Also, the footnotes on page 11 of https://arxiv.org/pdf/hep-th/9902116.pdf gives a description too
- https://arxiv.org/pdf/1712.09205.pdf