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- W2179998295 abstract "In this chapter, we define the Riemann–Hilbert functor on a Riemann surface X as a functor from the category of holonomic $${mathcal{D}}_{X}$$ -modules to that of Stokes-perverse sheaves. It is induced from a functor at the derived category level which is compatible with t-structures. Given a discrete set $$D$$ in X, we first define the functor from the category of $${mathcal{D}}_{X}({_ast}D)$$ -modules which are holonomic and have regular singularities away from D to that of Stokes-perverse sheaves on $$widetilde{X}(D)$$ , and we show that it is an equivalence. We then extend the correspondence to holonomic $${mathcal{D}}_{X}$$ -modules with singularities on D, on the one hand, and Stokes-perverse sheaves on $$underline{widetilde{X}}(D)$$ on the other hand." @default.
- W2179998295 created "2016-06-24" @default.
- W2179998295 creator A5080381751 @default.
- W2179998295 date "2012-07-25" @default.
- W2179998295 modified "2023-09-25" @default.
- W2179998295 title "The Riemann–Hilbert Correspondence for Holonomic $$mathcal{D}$$ -Modules on Curves" @default.
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- W2179998295 doi "https://doi.org/10.1007/978-3-642-31695-1_5" @default.
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