Cohomologie equivariante et quantification geometrique

Details Cohomologie equivariante et quantification geometrique Cohomologie equivariante et quantification geometrique

2004-01-12

arxiv.org/abs/math/0401112v1

Mathematics

Differential Geometry

35 pages, in French

Scientific paper

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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