Lectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry

• Damien Calaque

ETH Zurich, Switzerland
• Carlo A. Rossi

Max Planck Institute for Mathematics, Bonn, Germany

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 Frontmatterpp. i–iv Prefacepp. v–vi Contentspp. 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 $\mathcal{U}_\mathcal{Q}$ and its propertiespp. 51–59 8 The map $\mathcal{H}_\mathcal{Q}$ and the homotopy argumentpp. 61–69 9 The explicit form of $\mathcal{U}_\mathcal{Q}$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