Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657658 | Topology | 2008 | 10 Pages |
Abstract
A surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ϕϕ on the surface, there is a diffeomorphism on the 4-manifold whose restriction on the surface is ϕϕ and which is isotopic to the identity. We investigate a sufficient condition for a smooth 4-manifold MM 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
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Susumu Hirose, Akira Yasuhara,