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
Lectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry cover
Buy from $32.00Download PDF

A subscription is required to access this book.

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