On some (co)homological invariants of coherent matrix factorizations (Q6060970)
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scientific article; zbMATH DE number 7761268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some (co)homological invariants of coherent matrix factorizations |
scientific article; zbMATH DE number 7761268 |
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On some (co)homological invariants of coherent matrix factorizations (English)
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6 November 2023
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Summary: We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the \(\ell\)-adic cohomology of the dg category of coherent matrix factorizations, as well as its Hochschild and periodic cyclic homologies (these last two only in the affine case).
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non-commutative geometry
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(coherent) matrix factorizations
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(relative) singularity categories
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vanishing cycles
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