Topological Persistence in Geometry and Analysis
May 2020 · University Lecture Series Book 74 · American Mathematical Soc.
Ebook
128
Pages
About this ebook
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.
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 t...
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About the author
Tel Aviv University, Tel Aviv, Israel
Ruhr-Universität Bochum, Bochum, Germany
Tel Aviv University, Tel Aviv, Israel
Université de Montréal, Montréal, Canada
Tel Aviv University, Tel Aviv, Israel
Ruhr-Universität Bochum, Bochum, Germany
Tel Aviv University, Tel Aviv, Israel
Université de Montréal, Montréal, Canada
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