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    3. Kähler Geometry of Loop Spaces

    Kähler Geometry of Loop Spaces

    Posted By: insetes
    Date: 25 Mar 2023 09:48:38
    Kähler Geometry of Loop Spaces

    Kähler Geometry of Loop Spaces By Armen Sergeev
    2010 | 227 Pages | ISBN: 4931469604 | PDF | 2 MB


    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.
    UPWARDS