Topological Persistence in Geometry and Analysis (University Lecture Series)

Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhan

ISBN 10: 1470454955 / ISBN 13: 9781470454951

Published by American Mathematical Society, 2020

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Bibliographic Details

• Title: Topological Persistence in Geometry and Analysis (University Lecture Series)
• Publisher: American Mathematical Society
• Publication Date: 2020
• Language: English
• ISBN 10: 1470454955
• ISBN 13: 9781470454951
• Binding: paperback
• Condition: New
• Book Type: book

About this title

Synopsis

The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.

About the Author

Leonid Polterovich: Tel Aviv University, Tel Aviv, Israel, Daniel Rosen: Ruhr-Universität Bochum, Bochum, Germany, Karina Samvelyan: Tel Aviv University, Tel Aviv, Israel, Jun Zhang: Université de Montréal, Montréal, Canada