Kähler Geometry of Loop Spaces

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Kähler Geometry of Loop Spaces

Kähler Geometry of Loop Spaces

Name: Kähler Geometry of Loop Spaces
ISBN: 9784931469600

Armen Sergeev

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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.

Kategorije:

Mathematics

Godina:

2010

Izdavač:

The Mathematical Society of Japan

Jezik:

english

Strane:

227

ISBN 10:

4931469604