Symplectomorphism groups and almost complex structures
| dc.creator | McDuff, Dusa | |
| dc.date | 2000-10-27 | |
| dc.date | 2004-12-26 | |
| dc.date.accessioned | 2026-07-07T04:38:18Z | |
| dc.date.available | 2026-07-07T04:38:18Z | |
| dc.description | This paper studies groups of symplectomorphisms of ruled surfaces for symplectic forms with varying cohomology class. This class is characterized by the ratio R of the size of the base to that of the fiber. By considering appropriate spaces of almost complex structures, we investigate how the topological type of these groups changes as R increases. If the base is a sphere, this changes precisely when R passes an integer, and for general bases it stabilizes as R goes to infinity. Our results extend and make more precise some of the conclusions of Abreu--McDuff concerning the rational homotopy type of these groups for rational ruled surfaces. | |
| dc.description | 24 pages, with minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0010274 | |
| dc.identifier | http://arxiv.org/abs/math/0010274 | |
| dc.identifier | Enseignment Math 38 (2001) 1--30 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60225 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17; 57S05; 53D35 | |
| dc.title | Symplectomorphism groups and almost complex structures | |
| dc.type | text |