Delzant-type classification of near-symplectic toric 4-manifolds
| dc.creator | Kaufman, Sam | |
| dc.date | 2005-05-18 | |
| dc.date.accessioned | 2026-07-07T05:19:58Z | |
| dc.date.available | 2026-07-07T05:19:58Z | |
| dc.description | Delzant's theorem for symplectic toric manifolds says that there is a one-to-one correspondence between certain convex polytopes in $\mathbb{R}^n$ and symplectic toric $2n$-manifolds, realized by the image of the moment map. I review proofs of this theorem and the convexity theorem of Atiyah-Guillemin-Sternberg on which it relies. Then, I describe Honda's results on the local structure of near-symplectic 4-manifolds, and inspired by recent work of Gay-Symington, I describe a generalization of Delzant's theorem to near-symplectic toric 4-manifolds. One interesting feature of the generalization is the failure of convexity, which I discuss in detail. The first three chapters are primarily expository, duplicate material found elsewhere, and may be skipped by anyone familiar with the material, but are included for completeness. | |
| dc.description | 45 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0505369 | |
| dc.identifier | http://arxiv.org/abs/math/0505369 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75224 | |
| dc.subject | Symplectic Geometry | |
| dc.title | Delzant-type classification of near-symplectic toric 4-manifolds | |
| dc.type | text |