| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Outline of Final Research Achievements |
The purpose of this research was to extend a conjecture of Dunfield, Friedl and Jackson (we call it the DFJ conjecture for simplicity) on the genus and fiberedness of a hyperbolic knot in the 3-sphere and to comprehensively resolve it, including the original DFJ conjecture. A summary of the results is as follows.
(1) We have formulated a generalized DFJ conjecture for a hyperbolic link in the 3-sphere rigorously, and in particular, have proved it for an infinite family of hyperbolic 2-bridge links.
(2) As a stepping stone to prove the conjecture for a broader class of hyperbolic links, we have proved the original DFJ conjecture for an infinite family of hyperbolic 3-bridge knots.
|
