Pure braids, a new subgroup of the mapping class group and finite type invariants
| dc.creator | Levine, Jerome | |
| dc.date | 1997-12-03 | |
| dc.date.accessioned | 2026-07-07T05:23:21Z | |
| dc.date.available | 2026-07-07T05:23:21Z | |
| dc.description | In the study of the relation between the mapping class group M of a surface and the theory of finite-type invariants of homology 3-spheres, three subgroups of the mapping class group play a large role. They are the Torelli group, the Johnson subgroup K and a new subgroup L, which contains K, defined by a choice of a Lagrangian subgroup of the homology of the surface. In this work we determine the quotient L/K, in terms of the precise description of M/K given by Johnson and Morita. We also study the lower central series of L and K, using some natural imbeddings of the pure braid group in L and the theory of finite-type invariants. | |
| dc.description | 22 pages, Latex, 5 pictures | |
| dc.identifier | https://arxiv.org/abs/math/9712221 | |
| dc.identifier | http://arxiv.org/abs/math/9712221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76404 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M | |
| dc.title | Pure braids, a new subgroup of the mapping class group and finite type invariants | |
| dc.type | text |