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- W3137402593 abstract "The theory of persistence modules is an emerging field of algebraic topology which originated in topological data analysis. In these notes we provide a concise introduction into this field and give an account on some of its interactions with geometry and analysis. In particular, we present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, we discuss topological function theory which provides a new insight on oscillation of functions. The material should be accessible to readers with a basic background in algebraic and differential topology." @default.
- W3137402593 created "2021-03-29" @default.
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- W3137402593 date "2020-05-12" @default.
- W3137402593 modified "2023-10-17" @default.
- W3137402593 title "Topological Persistence in Geometry and Analysis" @default.
- W3137402593 doi "https://doi.org/10.1090/ulect/074" @default.
- W3137402593 hasPublicationYear "2020" @default.
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