Topological persistence in geometry and analysis

by Polterovich, Leonid

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Title Statements

Full title :Topological persistence in geometry and analysis / Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang.

Edition Statements

Publication Date:2020

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:2020

The Physical Object

Description:xi, 128 pages : : illustrations ; : 26 cm.

Edition Identifiers

ISBN:9781470454951, 1470454955
oclc:on1142009348
LC Classification:QA612
Dewey Decimal:514/.2

Definition and first examples -- Barcodes -- Proof of the isometry theorem -- What can we read from a barcode? -- Applications of Rips complexes -- Topological function theory -- A concise introduction to symplectic geometry -- Hamiltonian persistence modules -- Symplectic persistence modules.

Subjects

Algebraic topology Algebraic topology -- Applied homologic… Analyse mathématique Combinatorial topology Differential geometry {For differential… GÉOMÉTRIE SYMPLECTIQUE Global analysis, analysis on manifolds … Homologie Homology theory Mathematical analysis Symplectic geometry Topologie algébrique Topologie combinatoire