Publication: Lifting Braids
| dc.contributor.author | Mulazzani, Michele | |
| dc.contributor.author | Piergallini, Riccardo | |
| dc.date.accessioned | 2011-04-05T10:20:27Z | |
| dc.date.available | 2011-04-05T10:20:27Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | In this paper we study the homeomorphisms of B$^{2}$ that are liftable with respect to a simple branched covering. Since any such homeomorphism maps the branch set of the covering onto itself and liftability is invariant up to isotopy fi{}xing the branch set, we are dealing in fact with liftable braids. We prove that the group of liftable braids is fi{}nitely generated by liftable powers of half-twists around arcs joining branch points. A set of such generators is explicitly determined for the special case of branched coverings B$^{2}$ $\rightarrow$ B$^{2}$ . As a preliminary result we also obtain the classifi{}cation of all the simple branched coverings of B$^{2}$. | it_IT |
| dc.identifier.citation | Michele Mulazzani and Riccardo Piergallini, "Lifting Braids", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 193–219. | it_IT |
| dc.identifier.issn | 0049-4704 | |
| dc.identifier.uri | http://hdl.handle.net/10077/4243 | |
| dc.language.iso | en | it_IT |
| dc.publisher | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche | it_IT |
| dc.relation.ispartofseries | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics | it_IT |
| dc.relation.ispartofseries | 32 suppl. 1 (2001) | it_IT |
| dc.subject | branched covering of the disk | it_IT |
| dc.subject | liftable homeomorphism | it_IT |
| dc.subject | liftable braid | it_IT |
| dc.subject.msc | 57M12 | it_IT |
| dc.title | Lifting Braids | it_IT |
| dc.type | Article | |
| dspace.entity.type | Publication |