Incompressible surfaces in handlebodies and isotopies |
| |
| Authors: | Charalampos Charitos Georgios Tsapogas |
| |
| Institution: | a Agricultural University of Athens, Department of Mathematics, 75 lera Odos, Athens 11855, Greece
b University of the Aegean, Department of Mathematics, Kalovassi 83200, Samos, Greece |
| |
| Abstract: | It is shown that every properly embedded incompressible surface in a handlebody can be constructed by a canonical gluing process. A simple condition is given which asserts that the result of the gluing process is an incompressible surface. A new notion of isotopy is introduced in order to distinguish surfaces belonging to distinct isotopy classes. Several examples (known and new) are constructed. |
| |
| Keywords: | 57N10 57N35 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
