Graphs of 2-torus actions
| dc.creator | Lü, Zhi | |
| dc.date | 2007-11-23 | |
| dc.date | 2007-11-25 | |
| dc.date.accessioned | 2026-07-07T12:38:02Z | |
| dc.date.available | 2026-07-07T12:38:02Z | |
| dc.description | It has been known that an effective smooth $({\Bbb Z}_2)^k$-action on a smooth connected closed manifold $M^n$ fixing a finite set can be associated to a $({\Bbb Z}_2)^k$-colored regular graph. In this paper, we consider abstract graphs $(Γ,α)$ of $({\Bbb Z}_2)^k$-actions, called abstract 1-skeletons. We study when an abstract 1-skeleton is a colored graph of some $({\Bbb Z}_2)^k$-action. We also study the existence of faces of an abstract 1-skeleton (note that faces often have certain geometric meanings if an abstract 1-skeleton is a colored graph of some $({\Bbb Z}_2)^k$-action). | |
| dc.description | 12 pages with 3 figures. To appear in Contemporary Mathematics of AMS (Proceedings of the International Conference on Toric Topology) | |
| dc.identifier | https://arxiv.org/abs/0711.3778 | |
| dc.identifier | http://arxiv.org/abs/0711.3778 | |
| dc.identifier | Contemp. Math. 460 (2008), 261-272. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218615 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Topology | |
| dc.title | Graphs of 2-torus actions | |
| dc.type | text |