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- W647563188 abstract "Given a smooth morphism of analytic spaces π:X→Y, we introduce the notion of a relative Lie algebroid ((mathcal {A},sharp)) over X. By replacing the relative tangent sheaf (mathcal{T}_{X/Y}) with the Lie algebroid (mathcal{A}), we define the notion of a relative ((mathcal{A},sharp))-connection on a quasi-coherent (mathcal{O}_{X})-module (mathcal{E}). Then, we define the ((mathcal{A},sharp))-Atiyah class of (mathcal{E}) as the obstruction to the existence of a holomorphic ((mathcal{A},sharp))-connection on (mathcal{E}). Many results of the classical theory of connections can be restated in the more general setting of Lie algebroid connections. As an application we prove the following result." @default.
- W647563188 created "2016-06-24" @default.
- W647563188 creator A5081527239 @default.
- W647563188 date "2015-01-01" @default.
- W647563188 modified "2023-09-26" @default.
- W647563188 title "Atiyah Classes of Lie Algebroids" @default.
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- W647563188 doi "https://doi.org/10.1007/978-3-319-12577-0_43" @default.
- W647563188 hasPublicationYear "2015" @default.
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