miscellaneous texts
Miscellaneous texts
1. Survey (with Y.Eliashberg)
"The problem of Lagrangian knots in four manifolds",
Proceedings of the 1993 Georgia International Topology Conference, 1997.
2. Book "The geometry of the group of symplectic diffeomorphisms",
ETH Lectures in Mathematics, Birkhauser, 2001
sites.google.com/site/polterov/book-the-geometry-of-the-group-of-symplectic-diffeomorphisms
3. Survey "Floer homology, dynamics and groups",
in "Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology", P.Biran, O. Cornea and F.Lalonde eds., Springer 2006
drive.google.com/file/d/1faF2zFWXUsIoVgS9bNF_e43CmArAdUjT/view?usp=sharing
4. Exposition of quasi-states for physicists (with M.Entov and F.Zapolsky)
"An "anti-Gleason" phenomenon and simultaneous measurements in classical mechanics", Foundations of Physics 37(2007), 1306-1316
arxiv.org/abs/quant-ph/0606214
5. Remembering Vladimir Arnold (1937-2010)
6. An article on Vladimir Arnold (with Inna Scherbak): We discuss life and times of Arnold, and review some of his seminal contributions to symplectic geometry and singularities theory which were among Arnold's favorite subjects. We are most grateful to Michael Entov for pointing out a number of mistakes in the previous version of this paper.
7. An expository note "Uncertainty jump for unbiased joint approximate measurements" illustrating the role of the quantum noise operator.
8. A draft of the book with Daniel Rosen
Function theory on symplectic manifolds
9. Erratum to Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules by L.Polterovich and E.Shelukhin, Selecta Math., 2015 fixing a mistake found by Vukasin Stojisavljevic, and a Note by Vukasin refining an inequality proved in the erratum.
10. Article for the 7ECM, Berlin, 2016: Symplectic rigidity and quantum mechanics and the video of the talk. See also a popular article "Quantum footprints of symplectic rigidity" in the EMS Newsletter based on the talk.
drive.google.com/file/d/1XJhBmQNbcoH6B0FyxfP9GsupPt0i_a_Y/view?usp=sharing
11. Draft of the book Topological persistence in geometry and analysis by Leonid Polterovich, Daniel Rosen, Karina Samvelyan , Jun Zhang. Published by AMS, University Lecture Series, 74, 2020. bookstore.ams.org/ulect-74
12. Thank you letter (with Iosif Polterovich) to Notices of the AMS concerning an article by Abigail Thompson.