Extending homeomorphisms from 2-punctured surfaces to handlebodies
| dc.creator | Cattabriga, Alessia | |
| dc.creator | Mulazzani, Michele | |
| dc.date | 2006-01-11 | |
| dc.date.accessioned | 2026-07-07T06:58:48Z | |
| dc.date.available | 2026-07-07T06:58:48Z | |
| dc.description | Let F a closed connected orientable surface bounding a genus g handlebody H. In this paper we find a finite set of generators for the subgroup E(2,g) of the pure mapping class group of the twice punctured torus PMCG(2,g), consisting of the isotopy classes of homeomorphisms of F which admit an extension to H keeping a properly embedded trivial arc fixed. This subgroup turns out to be important for the study of knots in closed 3-manifolds via (g,1)-decomposition. In fact, the knots represented by the isotopy classes belonging to the same left cosets of E(2,g) in PMCG(2,g) are equivalent. | |
| dc.description | 9 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0601255 | |
| dc.identifier | http://arxiv.org/abs/math/0601255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107501 | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F38; 57M25 | |
| dc.title | Extending homeomorphisms from 2-punctured surfaces to handlebodies | |
| dc.type | text |