| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
We studied band surgery and Dehn surgery and applied the results to studies of enzyme acting on DNA.
The results we obtained are the followings: (1) Characterization of band surgeries between knots with at most 7 crossing and torus links. (2) Characterization of knots with a +- unknotting operation and a -+ unknotting operation. (3) Study of minimum step number of knots in a slab region in the simple cubic lattice. (4) Study of Xer site-specific recombination on a catenane yielding a knot. (5) Study of A-polynomials of knots with non-trivial factors. These results have been published in papers, invited talks in international conferences, and review papers.
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