2-symmetric transformations for 3-manifolds of genus two
| dc.creator | Grasselli, Luigi | |
| dc.creator | Mulazzani, Michele | |
| dc.creator | Nedela, Roman | |
| dc.date | 2000-03-14 | |
| dc.date.accessioned | 2026-07-07T04:34:18Z | |
| dc.date.available | 2026-07-07T04:34:18Z | |
| dc.description | As previously known, all 3-manifolds of genus two can be represented by edge-coloured graphs uniquely defined by 6-tuples of integers satisfying simple conditions. The present paper describes an ``elementary transformation'' on these 6-tuples which changes the associated graph but does not change the represented manifold. This operation is a useful tool in the classification problem for 3-manifolds of genus two; in fact, it allows to define an equivalence relation on ``admissible'' 6-tuples so that equivalent 6-tuples represent the same manifold. Different equivalence classes can represent the same manifold; however, equivalence classes ``almost always'' contain infinitely many 6-tuples. Finally, minimal representatives of the equivalence classes are described. | |
| dc.description | 27 pages, 10 figures, to appear on Journal of Combinatorial Theory Series B | |
| dc.identifier | https://arxiv.org/abs/math/0003081 | |
| dc.identifier | http://arxiv.org/abs/math/0003081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58850 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M12, 57M15 (Primary); 57M25, 05C10 (Secondary) | |
| dc.title | 2-symmetric transformations for 3-manifolds of genus two | |
| dc.type | text |