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Moduli Spaces of Riemannian Metrics
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under t…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0948-1
- Collation
- -
- Series Title
- Oberwolfach Seminars
- Call Number
- -
The Structure and Stability of Persistence Modules
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use o…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42545-0
- Collation
- -
- Series Title
- -
- Call Number
- -
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