On twistor quantization of loop spaces and Kaehler manifolds
✍ Scribed by Sergeev A.G.
- Year
- 1995
- Tongue
- English
- Leaves
- 10
- Edition
- draft
- Category
- Library
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📜 SIMILAR VOLUMES
Abstract. We give a geometric interpretation of Berezin 's symbolic calculus on Kahler manifolds in the framework of geometric quantization. Berezin's covariant symbols are defined in terms of coherent states and we study a function 6 on the manifold which is the central object of the theory. When t
These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrödinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kähler manifolds with special emphasis on the differential geometric side of Kähler geometry. The exposition start
In this book we study three important classes of infinite-dimensional Kähler manifolds — loop spaces of compact Lie groups, Teichmüller spaces of complex structures on loop spaces, and Grassmannians of Hilbert spaces. Each of these manifolds has a rich Kähler geometry, considered in the first part o