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- W2912273395 abstract "In this note we realize the sheaf of Cherednik algebras $H_{1, c, X, G}$ on a general good complex orbifold $X/G$, originally introduced by Etingof for smooth complex varieties with an action by a finite group, by gluing sheaves of flat sections of flat holomorphic vector bundles on orbit type strata in $X$ which result from a localization procedure. In the case, when $c$ is formal, this construction can be interpreted as a formal deformation of $D_Xrtimesmathbb CG$ via Gel'fand-Kazhdan formal geometry. Contrary to the original definition of $H_{1, c, X, G}$ the presented construction permits the computation of trace densities, Hochschild homologies and an algebraic index theorem for formal deformations of $D_Xrtimesmathbb CG$. We also hope that the methods developed here will contribute towards a full proof of Dolgushev-Etingof's conjecture." @default.
- W2912273395 created "2019-02-21" @default.
- W2912273395 creator A5082498163 @default.
- W2912273395 date "2019-01-30" @default.
- W2912273395 modified "2023-09-27" @default.
- W2912273395 title "Sheaves of Cherednik Algebras from the Point of View of Formal Geometry" @default.
- W2912273395 hasPublicationYear "2019" @default.
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