On the construction of certain 6-dimensional symplectic manifolds with Hamiltonian circle actions
| dc.creator | Li, Hui | |
| dc.date | 2003-12-03 | |
| dc.date.accessioned | 2026-07-07T05:03:31Z | |
| dc.date.available | 2026-07-07T05:03:31Z | |
| dc.description | Let $(M, ω)$ be a connected, compact 6-dimensional symplectic manifold equipped with a semi-free Hamiltonian $S^1$ action such that the fixed point set consists of isolated points or surfaces. Assume dim $H^2(M)<3$, in \cite{L}, we defined a certain invariant of such spaces which consists of fixed point data and twist type, and we divided the possible values of these invariants into six ``types''. In this paper, we construct such manifolds with these ``types''. As a consequence, we have a precise list of the values of these invariants. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312085 | |
| dc.identifier | http://arxiv.org/abs/math/0312085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69452 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D05; 53D20 | |
| dc.title | On the construction of certain 6-dimensional symplectic manifolds with Hamiltonian circle actions | |
| dc.type | text |