In this book we study three important classes of infinite-dimensional Kahler manifolds - loop spaces of compact Lie groups, Teichmuller spaces of complex structures on loop spaces, and Grassmannians of Hilbert spaces. Each of these manifolds has a rich Kahler 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. This motivates our interest in their geometric quantization presented in the second part of the book...
In this book we study three important classes of infinite-dimensional Kahler manifolds - loop spaces of compact Lie groups, Teichmuller spaces of comp...
