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- W4295307405 abstract "We study Lie algebroids from the point of view noncommutative geometry. More specifically, using ideas from deformation quantization, we use the PBW-theorem for Lie algebroids to construct a Fedosov-type resolution for the associated sheaves of Weyl algebras. This resolution enables us to construct a character map --in the derived category-- from the sheafified cyclic chain complexes to the Chevalley--Eilenberg complex of the Lie algebroid. The index theorem computes the evaluation of this map on the trivial cycle in terms of the Todd--Chern characteristic class. Finally, we show compatibility of the character map with the Hochschild--Kostant--Rosenberg morphism." @default.
- W4295307405 created "2022-09-12" @default.
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- W4295307405 date "2015-12-24" @default.
- W4295307405 modified "2023-09-26" @default.
- W4295307405 title "An index theorem for Lie algebroids" @default.
- W4295307405 doi "https://doi.org/10.48550/arxiv.1512.07863" @default.
- W4295307405 hasPublicationYear "2015" @default.
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