A primer of persistence modules: Definition and first examples
Barcodes
Proof of the isometry theorem
What can we read from a barcode?
Applications to metric geometry and function theory: Applications of Rips complexes
Topological function theory
Persistent homology in symplectic geometry: A concise introduction to symplectic geometry
Hamiltonian persistence modules
Symplectic persistence modules
Bibliography
Notation index
Subject index
Name index.

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.

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About the Author