Free circle actions with contractible orbits on symplectic manifolds

Simple item page
dc.creatorKotschick, D.
dc.date2004-10-09
dc.date2005-04-03
dc.date.accessioned2026-07-07T06:25:27Z
dc.date.available2026-07-07T06:25:27Z
dc.descriptionWe prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms. In higher dimensions such actions by symplectomorphisms do exist, and we give explicit examples based on a construction of Fernandez, Gray and Morgan. We also prove that the only compact complex surfaces admitting free circle actions with contractible orbits are primary Hopf surfaces.
dc.descriptionproof of Prop. 1 clarified, to appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0410243
dc.identifierhttp://arxiv.org/abs/math/0410243
dc.identifierMath. Zeitschrift 252 (2006), 19--25
dc.identifierdoi:10.1007/s00209-005-0841-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96833
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject57R17; 57R57
dc.titleFree circle actions with contractible orbits on symplectic manifolds
dc.typetext

Files

Collections

arXiv