Théorie de Sullivan pour la cohomologie à coefficients locaux

Gómez-Tato, Antonio

doi:10.1090/S0002-9947-1992-1028765-9

Théorie de Sullivan pour la cohomologie à coefficients locaux
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by Antonio Gómez-Tato

Trans. Amer. Math. Soc. 330 (1992), 235-305

DOI: https://doi.org/10.1090/S0002-9947-1992-1028765-9

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Abstract:

The classical moment map of symplectic geometry is used to canonically associate to a unitary representation of a Lie group $G$ a $G$-invariant subset of the dual of the Lie algebra. This correspondence is in some sense dual to geometric quantization. The nature and convexity of this subset is investigated for $G$ compact semisimple.

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