Symplectic quasi-states and semi-simplicity of quantum homology
| dc.creator | Entov, Michael | |
| dc.creator | Polterovich, Leonid | |
| dc.date | 2007-05-25 | |
| dc.date | 2007-12-18 | |
| dc.date.accessioned | 2026-07-07T08:49:24Z | |
| dc.date.available | 2026-07-07T08:49:24Z | |
| dc.description | We review and streamline our previous results and the results of Y.Ostrover on the existence of Calabi quasi-morphisms and symplectic quasi-states on symplectic manifolds with semi-simple quantum homology. As an illustration, we discuss the case of symplectic toric Fano 4-manifolds. We present also new results due to D.McDuff: she observed that for the existence of quasi-morphisms/quasi-states it suffices to assume that the quantum homology contains a field as a direct summand, and she showed that this weaker condition holds true for one point blow-ups of non-uniruled symplectic manifolds. | |
| dc.description | A minor change: clarified the recipe for computing the quantum homology of a symplectic toric Fano manifold | |
| dc.identifier | https://arxiv.org/abs/0705.3735 | |
| dc.identifier | http://arxiv.org/abs/0705.3735 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144285 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53D45; 53D40; 14N35 | |
| dc.title | Symplectic quasi-states and semi-simplicity of quantum homology | |
| dc.type | text |