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＜E-Book＞
Topological persistence in geometry and analysis / Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang
(University Lecture Series ; v. 74)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2020]
Size	1 online resource (pages cm.)
Authors	*Polterovich, Leonid 1963- author Rosen, Daniel 1980- author Samvelyan, Karina 1988- author Zhang, Jun 1988- author
Subjects	LCSH:Algebraic topology LCSH:Homology theory LCSH:Combinatorial topology LCSH:Symplectic geometry LCSH:Mathematical analysis FREE:Algebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- None of the above, but in this section  All Subject Search FREE:Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Calculus on manifolds; nonlinear operators [See also 46Txx  All Subject Search FREE:Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]  All Subject Search
Contents	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
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2020 Mode of access : World Wide Web Description based on print version record HTTP:URL=https://www.ams.org/ulect/074 Information=Contents HTTP:URL=https://doi.org/10.1090/ulect/074 Information=Contents

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