Moduli Spaces of Riemannian Metrics
Overview
Part I: Positive scalar curvature.- The (moduli) space of all Riemannian metrics.- Clifford algebras and spin.- Dirac operators and index theorems.- Early results on the space of positive scalar curvature metrics.- Kreck-Stolz invariants.- Applications of Kreck-Stolz invariants.- The eta invariant and applications.- The case of dimensions 2 and 3.- The observer moduli space and applications.- Other topological structures.- Negative scalar and Ricci curvature.- Part II: Sectional curvature.- Moduli spaces of compact manifolds with positive or non-negative sectional curvature.- Moduli spaces of compact manifolds with negative and non-positive sectional curvature.- Moduli spaces of non-compact manifolds with non-negative sectional curvature.- Positive pinching and the Klingenberg-Sakai conjecture.
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Details
- ISBN-13: 9783034809474
- ISBN-10: 3034809476
- Publisher: Birkhauser
- Publish Date: October 2015
- Dimensions: 9.61 x 6.69 x 0.29 inches
- Shipping Weight: 0.5 pounds
- Page Count: 123
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