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- W2964087504 abstract "This article is the continuation of [17]. We use categories of matrix factorizations to define a morphism of rings (= a Landau–Ginzburg motivic measure) from the (motivic) Grothendieck ring of varieties over $mathbb A^1$ to the Grothendieck ring of saturated dg categories (with relations coming from semi-orthogonal decompositions into admissible subcategories). Our Landau–Ginzburg motivic measure is the analog for matrix factorizations of the motivic measure in [5] whose definition involved bounded derived categories of coherent sheaves. On the way we prove smoothness and a Thom–Sebastiani theorem for enhancements of categories of matrix factorizations." @default.
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- W2964087504 date "2016-01-01" @default.
- W2964087504 modified "2023-10-16" @default.
- W2964087504 title "Matrix factorizations and motivic measures" @default.
- W2964087504 doi "https://doi.org/10.4171/jncg/253" @default.
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