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Function Theory on Symplectic Manifolds
About this Title
Leonid Polterovich, Tel Aviv University, Tel Aviv, Israel and Daniel Rosen, Tel Aviv University, Tel Aviv, Israel
Publication: CRM Monograph Series
Publication Year:
2014; Volume 34
ISBNs: 978-1-4704-1693-5 (print); 978-1-4704-1931-8 (online)
DOI: https://doi.org/10.1090/crmm/034
MathSciNet review: MR3241729
MSC: Primary 53Dxx; Secondary 22E65, 57R17, 57R58, 58E05, 81P45
Table of Contents
Front/Back Matter
Chapters
- Three wonders of symplectic geometry
- $C^0$-rigidity of the Poisson bracket
- Quasi-morphisms
- Subadditive spectral invariants
- Symplectic quasi-states and quasi-measures
- Applications of partial symplectic quasi-states
- A Poisson bracket invariant of quadruples
- Symplectic approximation theory
- Geometry of covers and quantum noise
- Preliminaries from Morse theory
- An overview of Floer theory
- Constructing subadditive spectral invariants