| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
The smooth unknotting conjecture in dimension four is reduced to the case which is connected by a one-parameter family of braided surfaces with at most one intersection point to the 2-dimensional braid representing an unknot, by assuming our writing Markov type theorem.
Moreover, in this case we do not know that the given knot is trivial yet but we see that its connected sum with the trivial torus knot is diffeomorphic to the trivial torus knot.
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