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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

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