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Kähler Geometry of Loop Spaces
Kähler Geometry of Loop Spaces
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.
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