Complexity of torus bundles over the circle with monodromy (2 1, 1 1)
| dc.creator | Anisov, Sergei | |
| dc.date | 2002-03-20 | |
| dc.date.accessioned | 2026-07-07T04:47:12Z | |
| dc.date.available | 2026-07-07T04:47:12Z | |
| dc.description | We find the exact values of complexity for an infinite series of 3-manifolds. Namely, by calculating hyperbolic volumes, we show that c(N_n)=2n, where $c$ is the complexity of a 3-manifold and N_n is the total space of the punctured torus bundle over S^1 with monodromy 2&1 1&1 ^n$. We also apply a recent result of Matveev and Pervova to show that c(M_n) \ge 2Cn with C\approx 0.598, where a compact manifold M_n is the total space of the torus bundle over S^1 with the same monodromy as N_n, and discuss an approach to the conjecture c(M_n)=2n+5 based on the equality c(N_n)=2n. | |
| dc.description | AMS-TeX, 6 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0203215 | |
| dc.identifier | http://arxiv.org/abs/math/0203215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63619 | |
| dc.subject | Geometric Topology | |
| dc.subject | 55R05 (Primary); 57Q15; 57M25; 57M50; 51M25 (Secondary) | |
| dc.title | Complexity of torus bundles over the circle with monodromy (2 1, 1 1) | |
| dc.type | text |