Convex Polytopes and Quasilattices from the Symplectic Viewpoint
| dc.creator | Battaglia, Fiammetta | |
| dc.date | 2003-06-13 | |
| dc.date | 2007-04-20 | |
| dc.date.accessioned | 2026-07-07T07:57:25Z | |
| dc.date.available | 2026-07-07T07:57:25Z | |
| dc.description | We construct, for each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e. each of these spaces is a collection of quasifolds glued together in an suitable way. A quasifold is a space locally modelled on $\R^k$ modulo the action of a discrete, possibly infinite, group. The way strata are glued to each other also involves the action of an (infinite) discrete group. Each stratified space is endowed with a symplectic structure and a moment mapping having the property that its image gives the original polytope back. These spaces may be viewed as a natural generalization of symplectic toric varieties to the nonrational setting. | |
| dc.description | LaTeX, 29 pages. Revised version: TITLE changed, reorganization of notations and exposition, added remarks and references | |
| dc.identifier | https://arxiv.org/abs/math/0306217 | |
| dc.identifier | http://arxiv.org/abs/math/0306217 | |
| dc.identifier | Commun. Math. Phys, 269, 283-310 (2007) | |
| dc.identifier | doi:10.1007/s00220-006-0130-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127641 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53D05 | |
| dc.title | Convex Polytopes and Quasilattices from the Symplectic Viewpoint | |
| dc.type | text |