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- W3119467032 abstract "We develop a version of Hodge theory for a large class of smooth formally proper quotient stacks $X/G$ analogous to Hodge theory for smooth projective schemes. We show that the noncommutative Hodge-de Rham sequence for the category of equivariant coherent sheaves degenerates. This spectral sequence converges to the periodic cyclic homology, which we canonically identify with the topological equivariant K-theory of $X$ with respect to a maximal compact subgroup of $G$, equipping the latter with a canonical pure Hodge structure. We also establish Hodge-de Rham degeneration for categories of matrix factorizations for a large class of equivariant Landau-Ginzburg models." @default.
- W3119467032 created "2021-01-18" @default.
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- W3119467032 date "2020-12-29" @default.
- W3119467032 modified "2023-10-16" @default.
- W3119467032 title "Equivariant Hodge theory and noncommutative geometry" @default.
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- W3119467032 doi "https://doi.org/10.2140/gt.2020.24.2361" @default.
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