Quasi-morphisms and quasi-states in symplectic topology

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17 Scopus citations

Abstract

We discuss certain "almost homomorphisms" and "almost linea" functionals that have appeared in symplectic topology and their applications concerning Hamiltonian dynamics, functionaltheoretic properties of Poisson brackets and algebraic and metric properties of symplectomorphism groups.

Original languageEnglish
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
Pages1147-1171
Number of pages25
ISBN (Electronic)9788961058056
StatePublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: 13 Aug 201421 Aug 2014

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014
Volume2

Conference

Conference2014 International Congress of Mathematicans, ICM 2014
Country/TerritoryKorea, Republic of
CitySeoul
Period13/08/1421/08/14

Keywords

  • Hamiltonian symplectomorphism
  • Poisson brackets
  • Quantum homology
  • Quasi-morphism
  • Quasi-state
  • Symplectic manifold
  • Symplectic rigidity

ASJC Scopus subject areas

  • General Mathematics

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