Surfaces in 4-manifolds and their mapping class groups |
| |
| Authors: | Susumu Hirose Akira Yasuhara |
| |
| Affiliation: | a Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga, 840-8502, Japan
b Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan |
| |
| Abstract: | A surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ? on the surface, there is a diffeomorphism on the 4-manifold whose restriction on the surface is ? and which is isotopic to the identity. We investigate a sufficient condition for a smooth 4-manifold M to include flexible knotted surfaces, and introduce a local operation in simply connected 4-manifolds for obtaining a flexible knotted surface from any knotted surface. |
| |
| Keywords: | 4-dimensional manifold Mapping class group Knotted surface |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
