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Cohomologie equivariante et quantification geometrique

Paul-Emile Paradan
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Abstract

This is my Habilitation a Diriger des Recherches (French thing). In this paper I summarize the work I have done to realize the program of Witten called -non abelian localization-. This work deals first with problems of localization in equivariant cohomology. The second part of this paper concerns the Guillemin-Sternberg problem -Quantization commutes with reduction- in the geometric quantization procedure.

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Paul-Emile Paradan. 2004-01-12. Cohomologie equivariante et quantification geometrique. https://arxiv.org/abs/math/0401112

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