Minimal atlases of closed contact manifolds
| dc.creator | Chekanov, Yuri | |
| dc.creator | van Koert, Otto | |
| dc.creator | Schlenk, Felix | |
| dc.date | 2008-07-18 | |
| dc.date.accessioned | 2026-07-07T09:51:41Z | |
| dc.date.available | 2026-07-07T09:51:41Z | |
| dc.description | We study the minimal number C(M,ξ) of contact charts that one needs to cover a closed connected contact manifold (M,ξ). Our basic result is C(M,ξ) \le \dim M + 1. We compute C(M,ξ) for all closed connected contact 3-manifolds: C (M,ξ) = 2 if M = S^3 and ξis tight, 3 if M = S^3 and ξis overtwisted or if M = #_k (S^2 \times S^1), 4 otherwise. We also show that on every sphere S^{2n+1} there exists a contact structure with C(S^{2n+1},ξ) \ge 3. | |
| dc.description | 40 pages, 18 figures | |
| dc.identifier | https://arxiv.org/abs/0807.3047 | |
| dc.identifier | http://arxiv.org/abs/0807.3047 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165332 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53D35 | |
| dc.title | Minimal atlases of closed contact manifolds | |
| dc.type | text |