A characteristic number of bundles determined by mass linear pairs
| dc.creator | Viña, Andrés | |
| dc.date | 2008-09-09 | |
| dc.date | 2008-11-13 | |
| dc.date.accessioned | 2026-07-07T10:17:37Z | |
| dc.date.available | 2026-07-07T10:17:37Z | |
| dc.description | Let $Δ$ be a Delzant polytope in ${\mathbb R}^n$ and ${\bf b}\in{\mathbb Z}^n$. Let $E$ denote the symplectic fibration over $S^2$ determined by the pair $(Δ, {\bf b})$. We prove the equivalence between the fact that $(Δ, {\bf b})$ is a mass linear pair (D. McDuff, S. Tolman, {\em Polytopes with mass linear functions, part I.} {\tt arXiv:0807.0900 [math.SG]}) and the vanishing of a characteristic number of $E$ in the following cases: When $Δ$ is a $Δ_{n-1}$ bundle over $Δ_1$; when $Δ$ is the polytope associated with the one point blow up of ${\mathbb C}P^n$; and when $Δ$ is the polytope associated with a Hirzebruch surface. | |
| dc.description | 17 pages. Section 3 and Introduction have been rewritten | |
| dc.identifier | https://arxiv.org/abs/0809.1506 | |
| dc.identifier | http://arxiv.org/abs/0809.1506 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173913 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D05; 57S05 | |
| dc.title | A characteristic number of bundles determined by mass linear pairs | |
| dc.type | text |