Kähler Geometry of Loop Spaces
Armen Sergeev
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.
On the other hand, these manifolds are closely related to string theory.
Kateqoriyalar:
İl:
2010
Nəşriyyat:
The Mathematical Society of Japan
Dil:
english
Səhifələr:
227
ISBN 10:
4931469604
ISBN 13:
9784931469600
Seriyalar:
Mathematical Society of Japan Memoirs
Fayl:
PDF, 1.22 MB
IPFS:
,
english, 2010