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Kähler Geometry of Loop Spaces

✍ Scribed by Armen Sergeev

Publisher
The Mathematical Society of Japan
Year
2010
Tongue
English
Leaves
227
Series
Mathematical Society of Japan Memoirs
Category
Library
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✦ Synopsis

In this book we study three important classes of infinite-dimensional Kähler manifolds — loop spaces of compact Lie groups, Teichmüller spaces of complex structures on loop spaces, and Grassmannians of Hilbert spaces. Each of these manifolds has a rich Kähler geometry, considered in the first part of the book, and may be considered as a universal object in a category, containing all its finite-dimensional counterparts.

On the other hand, these manifolds are closely related to string theory.

✦ Table of Contents

Title and Copyright Pages.pdf
Contents
Foreword
Part I. Preliminary Concepts
Part II. Loop Spaces of Compact Lie Groups
Part III. Spaces of Complex Structures
Part IV. Quantization of Finite-Demensional Kähler Manifolds
Part V. Quantization of Loop Spaces
Bibliography
Index

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