Topological Persistence in Geometry and Analysis

Released on by Leonid Polterovich
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  • Topological Persistence in Geometry and Analysis Book Detail

  • Author : Leonid Polterovich
  • Release Date : 2020-05-11
  • Publisher : American Mathematical Soc.
  • Genre : Education
  • Pages : 128
  • ISBN 13 : 1470454955
  • File Size : 59,59 MB
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Topological Persistence in Geometry and Analysis by Leonid Polterovich PDF Summary

Book Description: 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.

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