A limit of toric symplectic forms that has no periodic Hamiltonians
| dc.creator | Hausmann, Jean-Claude | |
| dc.creator | Knutson, Allen | |
| dc.date | 1998-10-19 | |
| dc.date.accessioned | 2026-07-07T05:26:32Z | |
| dc.date.available | 2026-07-07T05:26:32Z | |
| dc.description | We calculate the Riemann-Roch number of some of the pentagon spaces defined in [Klyachko,Kapovich-Millson,HK1]. Using this, we show that while the regular pentagon space is diffeomorphic to a toric variety, even symplectomorphic to one under arbitrarily small perturbations of its symplectic structure, it does not admit a symplectic circle action. In particular, within the cohomology classes of symplectic structures, the subset admitting a circle action is not closed. | |
| dc.description | 7 pages, 2 external figures | |
| dc.identifier | https://arxiv.org/abs/math/9810122 | |
| dc.identifier | http://arxiv.org/abs/math/9810122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77585 | |
| dc.subject | Symplectic Geometry | |
| dc.title | A limit of toric symplectic forms that has no periodic Hamiltonians | |
| dc.type | text |