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Cycle Spaces of Flag Domains A Complex Geometric Viewpoint

This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, as well as th...

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Bibliographic Details
Main Authors: Fels, Gregor, Huckleberry, Alan (Author), Wolf, Joseph A. (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2006, 2006
Edition:1st ed. 2006
Series:Progress in Mathematics
Subjects:
Quantum Physics
Several Complex Variables And Analytic Spaces
Geometry, Differential
Algebraic Geometry
Functions Of Complex Variables
Topological Groups And Lie Groups
Lie Groups
Topological Groups
Manifolds (mathematics)
Differential Geometry
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • to Flag Domain Theory
  • Structure of Complex Flag Manifolds
  • Real Group Orbits
  • Orbit Structure for Hermitian Symmetric Spaces
  • Open Orbits
  • The Cycle Space of a Flag Domain
  • Cycle Spaces as Universal Domains
  • Universal Domains
  • B-Invariant Hypersurfaces in MZ
  • Orbit Duality via Momentum Geometry
  • Schubert Slices in the Context of Duality
  • Analysis of the Boundary of U
  • Invariant Kobayashi-Hyperbolic Stein Domains
  • Cycle Spaces of Lower-Dimensional Orbits
  • Examples
  • Analytic and Geometric Consequences
  • The Double Fibration Transform
  • Variation of Hodge Structure
  • Cycles in the K3 Period Domain
  • The Full Cycle Space
  • Combinatorics of Normal Bundles of Base Cycles
  • Methods for Computing H1(C; O)
  • Classification for Simple with rank < rank
  • Classification for rank = rank

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