INFINITE DIMENSIONAL KAHLER MANIFOLDS by A. Huckleberry (Editor), T. Wurzbacher (Editor) ( 9783764366025 )

Item Details

Title:

INFINITE DIMENSIONAL KAHLER MANIFOLDS

By:

A. Huckleberry (Editor), T. Wurzbacher (Editor)

Format:

Paperback

List price:	£72.00
We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10:

3764366028

ISBN 13:

9783764366025

Publisher:

BIRKHAUSER VERLAG AG

Pub. date:

1 September, 2001

Edition:

2001 ed.

Series:

Oberwolfach Seminars v. 31

Pages:

375

Description:

This is a collection of closely related articles on infinite dimensional Kahler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject.

Synopsis:

Infinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kahler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g.,Borel-Weil theory for loop groups, aspects of the Virasoro algebra, (gauge) group actions and determinant bundles, and second quantization and the geometry of the infinite dimensional Grassmann manifold.

Illustrations:

biography

Publication:

Switzerland

Imprint:

Birkhauser Verlag AG

Returns:

Returnable

Some other items by this author:

THEORY OF STEIN SPACES (PB)