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- W4206361167 abstract "Let X be a non-compact Calabi-Yau manifold and f be a holomorphic function on X with compact critical locus. We introduce the notion of f-twisted Sobolev spaces for the pair (X,f) and prove the corresponding Hodge-to-de Rham degeneration property via L2-Hodge theoretical methods when f satisfies an asymptotic condition of strongly ellipticity. This leads to a Frobenius manifold via the Barannikov-Kontsevich construction, unifying the Landau-Ginzburg and Calabi-Yau geometry. Our construction can be viewed as a generalization of K. Saito's higher residue and primitive form theory for isolated singularities. As an application, we construct Frobenius manifolds for orbifold Landau-Ginzburg B-models which admit crepant resolutions." @default.
- W4206361167 created "2022-01-25" @default.
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- W4206361167 date "2022-02-01" @default.
- W4206361167 modified "2023-09-23" @default.
- W4206361167 title "On the L2-Hodge theory of Landau-Ginzburg models" @default.
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- W4206361167 doi "https://doi.org/10.1016/j.aim.2021.108165" @default.
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