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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Infinite Dimensional Kähler Manifolds
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Infinite Dimensional Kähler Manifolds
(Taschenbuch, Englisch)
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Beschreibung
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 Kähler 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. 53,49 €
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Technische Daten
Erscheinungsdatum
01.09.2001
Sprache
Englisch
EAN
9783764366025
Herausgeber
Springer Basel
Serien- oder Bandtitel
Oberwolfach Seminars
Sonderedition
Nein
Seitenanzahl
375
Einbandart
Taschenbuch
Schlagwörter
Complex analysis, Geometry, Matrix, Monodromy, Tensor, curvature, diffeomorphism, differential geometry, group theory, manifold, topology
Thema-Inhalt
PBM - Geometrie
Höhe
2440 mm
Breite
170 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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