| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
I worked on Hopf comonads and star-autonomous comonads and their applications. First I settled the relationship between these two objects. Second, with R. Cockett, we generalized star-autonomous comonads to what we have called complementing comonads and developed the theory of these. Also, we applied this theory to develop a model of concurrent process semantics using for parallel computing. In the final year, but not yet finished, I have been working on extending invariants of Hopf algebras to Hopf monads. These can be used to obtain quantum invariants of links and knots.
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