Kähler Geometry of Loop Spaces

Free Download 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.