Finite-type invariants for curves on surfaces
| dc.creator | Ito, Noboru | |
| dc.date | 2008-03-14 | |
| dc.date | 2008-10-15 | |
| dc.date.accessioned | 2026-07-07T10:09:44Z | |
| dc.date.available | 2026-07-07T10:09:44Z | |
| dc.description | This study defines finite-type invariants for curves on surfaces and reveals the construction of these finite-type invariants for stable homeomorphism classes of curves on compact oriented surfaces without boundaries. These invariants are a higher-order generalisation of a part of Arnold's invariants that are first-order invariants for plane immersed curves. The invariants in this theory are developed using the word theory proposed by Turaev. | |
| dc.description | 8 pages, The earlier versions contain mistakes at the title and Theorem 5.2 in ver 2 (: Theorem 4.2 in ver 1) | |
| dc.identifier | https://arxiv.org/abs/0803.2082 | |
| dc.identifier | http://arxiv.org/abs/0803.2082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171411 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99 | |
| dc.title | Finite-type invariants for curves on surfaces | |
| dc.type | text |