Amann, Manuel: Positive Quaternion Kähler Manifolds. 2009
Inhalt
- Introduction
- 1.1. All the way to Positive Quaternion Kähler Geometry
- 1.2. A brief history of Rational Homotopy Theory
- Dimension Twelve—a ``Disclassification"
- Rational Homotopy Theory
- 3.1. Formality and spherical fibrations
- 3.2. Non-formal homogeneous spaces
- 3.3. Pure models and Lefschetz-like properties
- 3.4. Low dimensions
- Classification Results
- 4.1. Preparations
- 4.2. Recognising quaternionic projective spaces
- 4.3. Properties of interest
- 4.4. Classification results in dimension 20
- 4.5. A recognition theorem for the real Grassmannian
- Cohomology of Wolf Spaces
- Isometric Group Actions on Wolf Spaces
- The Euler Characteristic
- The Elliptic Genus of Wolf Spaces
- Indices in Dimension 16
- Bibliography
- Notation Index
- Index