Topological Persistence in Geometry and Analysis (University Lecture Series) - Softcover

Leonid Polterovich (author), Daniel Rosen (author), Karina Samvelyan (author) & Jun Zhang (author)

 
9781470454951: Topological Persistence in Geometry and Analysis (University Lecture Series)
Softcover
ISBN 10: 1470454955 ISBN 13: 9781470454951
Publisher: American Mathematical Society, 2020

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.

"synopsis" may belong to another edition of this title.

About the Author

Leonid Polterovich, Tel Aviv University, Israel.

Daniel Rosen, Ruhr-Universitat Bochum, Germany.

Karina Samvelyan, Tel Aviv University, Israel.

Jun Zhang, Universite de Montreal, Canada.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2020
Language
English
ISBN 10 
1470454955
ISBN 13 
9781470454951
Binding
Paperback
Number of pages
140