Multiplicity-free Hamiltonian actions need not be Kähler
| dc.creator | Woodward, Chris | |
| dc.date | 1995-06-22 | |
| dc.date.accessioned | 2026-07-07T09:12:33Z | |
| dc.date.available | 2026-07-07T09:12:33Z | |
| dc.description | We show that Tolman's example (of a six dimensional Hamiltonian $T^2$-space with isolated fixed points and no compatible Kähler structure) can be constructed from the flag variety $U(3)/U(1)^3$ by $U(2)$-equivariant symplectic surgery. This implies that Tolman's space has a ``transversal multiplicity-free'' action of $U(2)$ and that Delzant's theorem ``every compact multiplicity-free torus action is Kähler'' \cite{D1} does not generalize to non-abelian actions. | |
| dc.description | LaTeX using epic, eepic. 10 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9506009 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9506009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152059 | |
| dc.subject | Differential Geometry | |
| dc.title | Multiplicity-free Hamiltonian actions need not be Kähler | |
| dc.type | text |