Lectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry

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	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–vi
	ContentsDownload pp. vii–viii
1	Lie algebra cohomology and the Duflo isomorphismpp. 1–9
2	Hochschild cohomology and spectral sequencespp. 11–18
3	Dolbeault cohomology and the Kontsevich isomorphismpp. 19–24
4	Superspaces and Hochschild cohomologypp. 25–31
5	The Duflo–Kontsevich isomorphism for $Q$ -spacespp. 33–39
6	Configuration spaces and integral weightspp. 41–49
7	The map $U_{Q}$ and its propertiespp. 51–59
8	The map $H_{Q}$ and the homotopy argumentpp. 61–69
9	The explicit form of $U_{Q}$ pp. 71–77
10	Fedosov resolutionspp. 79–87
	Deformation-theoretical interpretation of the Hochschild cohomology of a complex manifoldpp. 89–99
	Bibliographypp. 101–103
	Indexpp. 105–106