| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Outline of Final Research Achievements |
For application to studies of topology of polymers such as DNA and enzyme, we studied band surgeries and crossing changes on links, and studied lattice knots. In this project, we obtained the following results. First, we gave concrete pathways by band surgeries for each knot up to 7 crossings and each 2-component link up to 6 crossings. Also we showed that the pathways have diversity in general. Next, we gave a characterization for a single band surgery or a single crossing change between two fibered links. Some examples of band surgeries are determined by applying this result. Finally, we characterized lattice knots in a confined region.
|
