Infinite Dimensional Kahler Manifolds (Paperback, 2001 ed.)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Oberwolfach Seminars, 31
Release date:	September 2001
First published:	2001
Editors:	Alan Huckleberry • Tilmann Wurzbacher
Dimensions:	244 x 170 x 20mm (L x W x T)
Format:	Paperback
Pages:	375
Edition:	2001 ed.
ISBN-13:	978-3-7643-6602-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Topology > General
LSN:	3-7643-6602-8
Barcode:	9783764366025

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