## Quasi-states and symplectic intersections (2008)

by
Michael Entov
,
Leonid Polterovich

Citations: | 18 - 1 self |

### BibTeX

@MISC{Entov08quasi-statesand,

author = {Michael Entov and Leonid Polterovich},

title = {Quasi-states and symplectic intersections},

year = {2008}

}

### OpenURL

### 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.