# Lectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry

###### Damien Calaque and Carlo A. Rossi
Publisher:
European Mathematical Society
Publication Date:
2011
Number of Pages:
106
Format:
Paperback
Series:
EMS Series of Lectures in Mathematics
Price:
32.00
ISBN:
9783037190968
Category:
Monograph
We do not plan to review this book.
• Lie algebra cohomology and the Duflo isomorphism
• Hochschild cohomology and spectral sequences
• Dolbeault cohomology and the Kontsevich isomorphism
• Superspaces and Hochschild cohomology
• The Duflo-Kontsevich isomorphism for $Q$-spaces
• Configuration spaces and integral weights
• The map $\mathcal{U}_Q$ and its properties
• The map $\mathcal{H}_Q$ and the homotopy argument
• The explicit form of $\mathcal{U}_Q$
• Fedosov resolutions
• Appendix: Deformation-theoretical interpretation of Hochschild cohomology
• Bibliography
• Index