Infinite Dimensional Kähler Manifolds (Oberwolfach Seminars #31) (Paperback)

Before placing an order, please note:

  • You'll receive a confirmation email once your order is complete and ready for pickup. 
  • If you place a pre-order in the same order as currently available titles, an additional shipping fee will be added to your order. 
  • Women & Children First is not responsible for lost or stolen packages.
Infinite Dimensional Kähler Manifolds (Oberwolfach Seminars #31) Cover Image
By Alan Huckleberry (Editor), Tilmann Wurzbacher (Editor)
$118.80
Unavailable

Description


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 K hler 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.
Product Details
ISBN: 9783764366025
ISBN-10: 3764366028
Publisher: Birkhauser
Publication Date: September 1st, 2001
Pages: 375
Language: English
Series: Oberwolfach Seminars