Quasi-states and symplectic intersections

Michael Entov, Leonid Polterovich

Research output: Contribution to journalArticlepeer-review

Abstract

We establish a link between symplectic topology and a recently emerged branch of functional analysis called the theory of quasi-states and quasi-measures (also known as topological measures). In the symplectic context quasi-states can be viewed as an algebraic way of packaging certain information contained in Floer theory, and in particular in spectral invariants of Hamiltonian diffeomorphisms introduced recently by Yong-Geun Oh. As a consequence we prove a number of new results on rigidity of intersections in symplectic manifolds. This work is a part of a joint project with Paul Biran.

Original languageEnglish
Pages (from-to)75-99
Number of pages25
JournalCommentarii Mathematici Helvetici
Volume81
Issue number1
DOIs
StatePublished - 2006

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