| 연구목표 |
The primary goal of the proposed project is to take full advantage of the rich interplay between knot theory and low dimensional manifold theory to discover interesting phenomena. The following are so... |
| 연구내용 |
Isotopy and equivalence of knots in 3-manifoldsConsider knots in general closed 3-manifolds Y. There are three natural equivalence relations of knots we can consider. We say that two knots in Y are eq... |
| 기대효과 |
In the last twenty years low-dimensional topology has been a highly active field of research. Knot theory is deeply connected to the study of 3- and 4-manifold topology. For instance, Lickorish and Wa... |
| 키워드 |
저차원 위상수학 |