Quasi-states and symplectic intersections
| dc.creator | Entov, Michael | |
| dc.creator | Polterovich, Leonid | |
| dc.date | 2004-10-14 | |
| dc.date | 2005-05-19 | |
| dc.date.accessioned | 2026-07-07T05:13:17Z | |
| dc.date.available | 2026-07-07T05:13:17Z | |
| dc.description | We establish a link between symplectic topology and a recently emerged branch of functional analysis called the theory of quasi-states and quasi-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. | |
| dc.description | Updated, a new section on history and physical meaning of quasi-states added. To appear in Comment. Math. Helv | |
| dc.identifier | https://arxiv.org/abs/math/0410338 | |
| dc.identifier | http://arxiv.org/abs/math/0410338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72889 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | Quantum Physics | |
| dc.title | Quasi-states and symplectic intersections | |
| dc.type | text |