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- semiorthogonal decomposition
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derived category
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derived category
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2021-10-03
A version of derived categories in infty-category world: derived infinity category : dg nerve of subcategory of fibrant objects. Always a stable infinity category, equivalent to original category localized at weak equivalences.
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unresolved links output
semiorthogonal decomposition in Unsorted/derived category
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perfect complexes
\(M\) is in the thick subcategory $\left\langle{\mathsf{A}}\right\rangle \leq \mathbf{D} {{\mathsf{A}{\hbox{-}}\mathsf{Mod}}} $ in the (unbounded) derived category of \(A\)
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Fukaya category
Relation to homological mirror symmetry using Hochschild homology of derived categories:
