Quandles and Lefschetz Fibrations
| dc.creator | Yetter, D. N. | |
| dc.date | 2002-01-28 | |
| dc.date.accessioned | 2026-07-07T04:46:09Z | |
| dc.date.available | 2026-07-07T04:46:09Z | |
| dc.description | We show that isotopy classes of simple closed curves in any oriented surface admit a quandle structure with operations induced by Dehn twists, the Dehn quandle of the surface. We further show that the monodromy of a Lefschetz fibration can be conveniently encoded as a quandle homomorphism from the knot quandle of the base as a manifold with a codimension 2 subspace (the set of singular values) to the Dehn quandle of the generic fibre, and discuss prospects for construction of invariants arising naturally from this description of the monodromy. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0201270 | |
| dc.identifier | http://arxiv.org/abs/math/0201270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63219 | |
| dc.subject | Geometric Topology | |
| dc.title | Quandles and Lefschetz Fibrations | |
| dc.type | text |