Frankel's theorem in the symplectic category
| dc.creator | Kim, Min Kyu | |
| dc.date | 2002-04-01 | |
| dc.date | 2004-09-06 | |
| dc.date.accessioned | 2026-07-07T04:47:22Z | |
| dc.date.available | 2026-07-07T04:47:22Z | |
| dc.description | We prove that if an (n-1)-dimensional torus acts symplectically on a 2n-dimensional manifold, then the action has a fixed point if and only if the action is Hamiltonian. One may regard it as a symplectic version of Frankel theorem. The case of n=2 is the well known theorem of McDuff. From the well known example of McDuff (a six dimensional symplectic non-Hamiltonian circle action with fixed tori) and its products with copies of a two dimensional sphere with the usual rotation, the condition on the dimension of the acting torus is optimal to obtain the result. | |
| dc.description | 13 pages, includes some figures. Accepted by Transactions AMS | |
| dc.identifier | https://arxiv.org/abs/math/0204016 | |
| dc.identifier | http://arxiv.org/abs/math/0204016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63687 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53D35 | |
| dc.title | Frankel's theorem in the symplectic category | |
| dc.type | text |