The uniqueness problem of dg-lifts and Fourier-Mukai kernels
classification
🧮 math.AG
math.CT
keywords
problemuniquenessdg-liftsfourier-mukaifunctorskernelsaddresscategories
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We address the uniqueness problem of dg-lifts of exact functors between triangulated categories, and its relationship with the uniqueness problem of Fourier-Mukai kernels. We prove a positive result under a vanishing hypothesis on the functors, employing A_infty-categorical techniques.
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