Infinite dimensional Kähler manifolds /
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| Imprint: | Boston : Birkhäuser Verlag, 2001. |
|---|---|
| Description: | xiii, 375 p. ; 24 cm. |
| Language: | English |
| Series: | DMV Seminar ; Bd. 31 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4486818 |
Table of Contents:
- Introduction to Group Actions in Symplectic and Complex Geometry / Alan Huckleberry
- I. Finite-dimensional manifolds
- II. Element of Lie groups and their actions
- III. Manifolds with additional structure
- IV. Symplectic manifolds with symmetry
- V. Kahlerian structures on coadjoint orbits of compact groups and associated representations
- Infinite-dimensional Groups and their Representations / Karl-Hermann Neeb
- I. Calculus in locally convex spaces
- II. Dual spaces of locally convex spaces
- III. Topologies on function spaces
- IV. Representations of infinite-dimensional groups
- V. Generalized coherent state representations
- Borel-Weil Theory for Loop Groups / Karl-Hermann Neeb
- I. Compact groups
- II. Loop groups and their central extensions
- III. Root decompositions
- IV. Representations of loop groups
- V. Representations of involutive semigroups
- VI. Borel-Weil theory
- VII. Consequences for general representations
- Coadjoint Representation of Virasoro-type Lie Algebras and Differential Operators on Tensor-densities / Valentin Yu. Ovsienko
- I. Coadjoint representation of Virasoro group and Sturm-Liouville operators; Schwarzian derivative as a 1-cocycle
- II. Projectively invariant version of the Gelfand-Fuchs cocycle and of the Schwarzian derivative
- III. Kirillov's method of Lie superalgebras
- IV. Invariants of coadjoint representation of the Virasoro group
- V. Extension of the Lie algebra of first order linear differential operators on S[superscript 1] and matrix analogue of the Sturm-Liouville operator
- VI. Geometrical definition of the Gelfand-Dickey bracket and the relation to the Moyal-Weil star-product
- From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques / Sylvie Paycha
- I. Renormalization techniques
- II. The first Chern form on a class of hermitian vector bundles
- III. The geometry of gauge orbits
- IV. The geometry of determinant bundles
- V. An example: the action of diffeomorphisms on complex structures
- Fermionic Second Quantization and the Geometry of the Restricted Grassmannian / Tilmann Wurzbacher
- I. Fermionic second quantization
- II. Bogoliubov transformations and the Schwinger term
- III. The restricted Grassmannian of a polarized Hilbert space
- IV. The non-equivariant moment map of the restricted Grassmannian
- V. The determinant line bundle on the restricted Grassmannian.
